Question

Given any two numbers, which is greater, the LCM of the numbers or the GCF of the numbers?

Answer 1

The LCM is a multiple and the GCF is a factor so the LCM will be greater.

Answer 2

The least common multiple because a multiple of a number is greater than a factor of a number. A factor goes into a number, whereas a multiple is a number that shares the original 2 numbers as its factors. Sorry if this is confusing!

Ex: GCF of 9 and 12 is 1
LCM of 9 and 12 is 36