Question

Show that the least common multiple divides any common multiple

Answer 1

Suppose you have two number m and n which are integers. The least common multiple will be m*n, any other multiple will be in the form \[m ^{a}n ^{b}\] where a and b are integers as well. Therefore any common multiple can be represented in that form where you can "take out" a m*n.

Answer 2

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