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Only if the numbers are co-prime.

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โˆ™ 2013-10-15 03:55:59
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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: Is it true that the LCM of 2 numbers is the product of the 2 numbers?
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Related questions

Is the LCM of 2 numbers the product of the 2 numbers?

Sometimes, not always.


What is the LCM of 2 consecutive numbers?

Their product.


What is the LCM of 2 consecutive even numbers?

Their GCF will be 2. Their LCM will be half their product.


How can you determine if the least common multiple of 2 numbers is the product of the 2 numbers or less than the product of the 2 numbers?

If the GCF is 1, the LCM is the product. If the GCF is more than 1, the LCM is less than the product.


What is the relation between HCF and LCM?

Since the product of two numbers is equal to the product of their GCF and LCM, the GCF of two numbers is equal to their product divided by their LCM and their LCM is equal to their product divided by their GCF.


When is the LCM of 2 numbers equal to the product of the 2 numbers?

When the two numbers are relatively prime.


Is the product of the 2 original numbers equal to the product of the HCF and the LCM?

Yes.


The product of 2 numbers is 1600 and their gcd is 2 what is the LCM?

800


How do you the GCFand LCM of 16 and 18?

The GCF of consecutive even numbers is 2. The LCM of consecutive even numbers is their product divided by 2.


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.


When is the LCM of two numbers neither of the number nor the product of the two numbers?

The LCM of two numbers is one of the numbers when one of the numbers is a multiple of the other. The LCM of two numbers is the product of the numbers when they are relatively prime. In all other cases (like consecutive even numbers that aren't 2 and 4) the LCM is as you describe.


The product of 3 numbers is 1620the HCF of any 2 numbers is 3find their LCM?

The LCM of 3, 15 and 36 is 180.


If the LCM of two numbers is the product of those numberswhat can you say about the 2 numbers?

They are relatively prime.


What true about 2 and 3 in least common multiple?

The LCM of 2 and 3 is their product.


Why is the LCM of 12 and 13 the same as there product but the LCM of 12 and 14 is not the same as there product?

The LCM is the product of the two numbers divided by their HCF. With 12 and 13, the HCF is 1. Therefore, the LCM will equal the product. With 12 and 14, the HCF is 2. Therefore, the LCM will be half of the product.


What is the LCM of 2 numbers that have no common factors greater than 1?

Their product.


What are two numbers whose LCM is less than their product?

The LCM of 4 and 6 is 12.


What is the product of two numbers is 2700 their GCF is 15 what is the LCM?

Their LCM is 2700/(15^2) = 180.


What is the product of the GCF and LCM of 4 and 6?

2 x 12 = 24, but there's an easier way if you remember that the product of the GCF and LCM of a pair of numbers will always be equal to the product of the two numbers.


How do you find a pair of whole numbers whose product is 280 and whose LCM is 140?

They are 2 and 140 because their LCM is 140 and their product is 280


How can you determine if whether the LCM of 2 numbers is the product of the numbers?

If they have no common factors other than 1.


Is it possible for the LCM of 2 numbers to be the product of those 2 numbers?

Yes, if they have no common factors other than one.


When is the LCM the product of tow numbers?

When the numbers are co-prime, ie have no common factor. Simplest example is 2 & 3 whose LCM is 6


What set of 3 numbers whose LCM is the product of the number?

1, 2 and 3


What is the LCM of 7 2 5 3?

These are all prime numbers so LCM is their product ie 210