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Yes - if two numbers share no common factors (besides 1) the least common multiple will be the product of the numbers.

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โˆ™ 2011-10-10 16:07:37
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Algebra

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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: When the greatest common factor is 1 is the least common multiple of these numbers always the product of the numbers?
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Related questions

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

No, not always.


Is it always true that if you divide the product of two numbers by the Greatest common factor you find the Least common multiple?

Yes, as long as the numbers are positive.


Is the product of two numbers always a common multiple of those numbers?

Yes.


Is the product of two whole numbers always a common multiple of he numbers?

yes


Is the least common multiple of two numbers always divisible by the greatest common factor of the two numbers?

Yes, the least common multiple of two numbers is always divisible by those numbers' greatest common factor.


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

Sometimes, not always.


What is the least common multiple of 7 and 23?

7 times 23. The product of 2 numbers is always a common multiple but not necessarily the least. Question for you : When is the LCM the product ? Think about the relation between the product, the LCM and the Greatest Common Factor.


What is the greatest common multiple of 85 and 51?

There is no greatest common multiple of two numbers. For whatever number you come up with I can always add the lowest common multiple of the numbers to get an even higher common multiple.


Is the least common multiple of any two numbers their product?

Sometimes, not always.


Is the least common multiple of two prime numbers always their product?

Yes.


When one number is a multiple of another the gcf of the numbers is always sometimes or never the greatest of the numbers?

The answer is sometimes - when the multiple in question is 1.


What is the least common multiple of 23 and 11?

The LCM or least common multiple is 253. In this case, the greatest common factor of the two numbers is 1. That is to say, they have no other common factors. We call these numbers relatively prime. When two numbers are relatively prime their LCM is always the product of the two numbers.Sometimes it is easier to find the greatest common factor than to find the least common multiple by looking at multiples of both numbers. This is true if the numbers are primes like 11 and 23. So if you are give two primes, the LCM will always be the product of the two numbers.


Is the product always the least common multiple of the number?

No, only if the numbers are relatively prime.


How can you find a greatest common multiple by using a factor tree?

Trees aren't necessary. The greatest common multiple of any set of numbers is always infinite.


What is the greatest common multiple of 11and 17?

Greatest common multiple of two prime numbers is always 1. Therefore, gcf of 11 and 17 is 1.


Is the LCM of two numbers the product of the two numbers explain in words?

Not always. The product of two numbers will always be a common multiple, but it will not always be least. The product of 4 and 9 is 36. The LCM of 4 and 9 is 36. The product of 4 and 8 is 32. The LCM of 4 and 8 is 16.


Are there any pairs of prime numbers that when multiplied do not make their least common multiple?

The product of all pairs of prime numbers is always the least common multiple of the two prime numbers.


Is the least common multiple of two numbers the product of those two numbers multiplied together?

Multiplying two numbers together will create a common multiple. It is sometimes, but not always, the LCM as well.


What is the greatest common multiple of 6 and 35?

The greatest common multiple of any set of integers is infinite.


Why the product of a multiple of ten and a multiple of ten will always have only one zero?

Why the product of a multiple of ten and a multiple of ten will always have only one zero


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.


Why is the product of 2 numbers in 3 times table always a multiple of 9?

Because each of the numbers is a multiple of 3, so their product will be a multiple of 3 x 3 = 9. Algebraically: let the two numbers from the 3 times table be 3m and 3n for some m and n. Their product is 3m x 3n = (3 x 3)mn = 9mn, a multiple of 9.


What is the greatest multiple for four?

There is no greatest multiple of any number: whatever multiple of 4 you say is the greatest I can always add 4 and get an even greater multiple.


What is the greatest common multiple for any two numbers?

There is really no such thing as a "greatest common multiple". Once you find the least common multiple of a set of numbers, you can keep adding the LCM to itself over and over again. Each new number you get will be a common multiple of your set of numbers, but each new number will always be larger than the previous. This means that you can keep adding while the number approaches infinity and you will still never find a greatest multiple.


Can two whole numbers have a greatest common multiple?

No, there is really no such thing as a "greatest common multiple". Once you find the least common multiple of a set of numbers, you can keep adding the LCM to itself over and over again. Each new number you get will be a common multiple of your set of numbers, but each new number will always be larger than the previous. This means that you can keep adding while the number approaches infinity and you will still never find a greatest multiple.