Study guides

☆☆

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

Write your answer...

Submit

Still have questions?

Related questions

Yes.

yes

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

Sometimes, not always.

Sometimes, not always.

Yes.

No, only if the numbers are relatively prime.

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

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

Yes, as long as the numbers are positive.

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.

No, this will find a common multiple, but not always the least. For example, 2 and 4 have a least common multiple of 4 but if you multiply them you get 8. In fact, the LCM will only be the product of two numbers if the numbers have no common factors. We call numbers with no common factors relatively prime.

People also asked