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If the GCF of the two numbers is 1, the LCM will be their product. IF the GCF is greater than one, the LCM will be less than the product.

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โˆ™ 2015-11-10 04:49:57
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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: How can you tell if the least common multiple of two numbers is less than or equal to the product of the numbers?
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Related questions

When is the least common multiple of two numbers equal to their product?

bla bla bla


When does the least common multiple of two numbers equal their product?

When there are no common factors other than 1.


How are least common multiple and greatest common factor related?

The product of the GCF and the LCM is equal to the product of the original two numbers.


Why is the least common multiple of two numbers their product divided by their greatest common factor?

The product of two numbers is equal to the product of their GCF and their LCM. Divide the original product by one of them, you will get the other.


When is the product of two numbers equal to their least common multiple?

When the two numbers are relatively prime (their GCF is 1)


Is it true that the Least Common Multiple of two numbers is equal to their product divided by their Greatest Common Factor?

Yes.


How do you find two numbers when highest common factor and lowest common multiple are known?

The product of the LCM and GCF of two numbers is equal to the product of the original two numbers. The two numbers will be another factor pair of that product.


Why is the least common multiple of 2 prime numbers their product?

Because prime numbers don't have any common prime factors. Their GCF is 1. Since the product of the GCF and LCM of a pair of numbers equals the product of the numbers, the LCM has to be equal to the product.


How can you determine from the prime factorization whether the least common multiple of two numbers is the product of the number?

If the two numbers have no common prime factors, the LCM will be the product of the numbers.


For a given pair of numbers how can you tell whether the least common multiple will be less than or equal to their product?

If the GCF of a given pair of numbers is 1, the LCM will be equal to their product. If the GCF is greater than 1, the LCM will be less than their product. Or, stated another way, if the two numbers have no common prime factors, their LCM will be their product.


What is the connection between a common factor and the common multiples of two numbers?

The product of the GCF and LCM of two numbers will equal the product of the two numbers.


what is the lowest common multiple of 72 and 42?

The Least Common Multiple of two numbers is equal to their product divided by their greatest common factor.The greatest common factor of 72 and 42 is 6, so their Least Common Multiple is 72 * 42 / 6 = 504.


How the least common multiple of two numbers differs from the greatest common factor of the numbers?

The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers. The least common multiple, or LCM, is the smallest positive integer that all the members of a given set of numbers will divide into evenly with no remainder. Factors go into numbers, numbers go into multiples. Since the product of the GCF and LCM of two numbers equals the product of the two numbers themselves, the GCF of two numbers will equal the product of the numbers divided by the LCM and the LCM of two numbers will equal their product divided by their GCF.


What is the least common multiple of 27 and 28?

Least common multiple of two consecutive numbers is always equal to their product. Since 27 & 28 are consecutive numbers, therefore LCM(27, 28) = 27 x 28 = 756.


Is the product of two whole numbers always the least common multiple of the numbers?

It's always a common multiple; it's not always least. Simple counter example: 4 × 6 = 24 But LCM(4, 6) = 12 ------------------------------------------------------------------------------------ Note: HCF(4, 6) = 2 What is true of any two whole numbers that the product of the two numbers is equal to the product of their highest common factor and lowest common multiple. eg 4 × 6 = hcf(4, 6) × lcm(4, 6) = 2 × 12 = 24.


What 2 numbers equal the least common multiple of 180?

The least common multiple (LCM) refers to a multiple that is COMMON to two or more numbers. You have only one number in the question! The least multiple of a number of 180 is itself.Two numbers which equal the LCM = 1 and 179 (added together).


What is the Lcms of 5 and 15?

If one number is divisible by another (in this case, 15 is divisible by 5), then the least common multiple is equal to the larger of the numbers (15), and the greatest common factor is equal to the smaller of the numbers (5).If one number is divisible by another (in this case, 15 is divisible by 5), then the least common multiple is equal to the larger of the numbers (15), and the greatest common factor is equal to the smaller of the numbers (5).If one number is divisible by another (in this case, 15 is divisible by 5), then the least common multiple is equal to the larger of the numbers (15), and the greatest common factor is equal to the smaller of the numbers (5).If one number is divisible by another (in this case, 15 is divisible by 5), then the least common multiple is equal to the larger of the numbers (15), and the greatest common factor is equal to the smaller of the numbers (5).


What two numbers equal 19 and their least common multiple is 48?

16 and 3


How many positive integers less than 1000 are multiples of 5 and equal to 9 times an even integer?

There are eleven such numbers.Get the common multiple of those numbers. All other common multiples will be multiples of this common multiple; that is, you can multiply the common multiple by 1, by 2, by 3, etc. to get additional numbers that are multiples of both numbers.


What is the least common multiple of 29 and 7?

LCM of two prime numbers is equal to their product.29 and 7 are prime numbers so, LCM(29,7) = 29 x 7 = 203.


When will the greatest common factor of a pair of numbers equal the least common multiple of the same pair of numbers?

Only if the magnitudes of two numbers are the same.


What is the relationship does the greatest common factor and the LCM have?

The product of the GCF and LCM is equal to the product of the original two numbers.


How can you determine from the prime factorization wheather the least common multiple of two numbers is the prouduct of the numbers or is less then the prouduct of two numbers. explain your thinking?

If the two numbers have no common factors (other than 1), then the LCM is equal to the product of the two numbers. If they have some factors in common, then those factors need only be used once when multiplying, so the LCM will be less than the product of the two numbers.


How can you use greatest common factor x least common multiple equals A x B?

The product of any two integers is equal to the product of their GCF and LCM. That means you can find any of those four numbers by knowing the other three.


What Multiples equal to the product of 2 numbers?

All multiples are equal to the product of two numbers.