# Least Common Multilpes

A. Find the LCM (Least common multiple) (84, 108). Show how you obtained your answer.

B. Suppose LCM (18,A) = 72. What are the possible values, if any, for A? Explain your answer.

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#### Solution Preview

A.

We must find the prime factors of 84 and 108 (in general any two given numbers). We can see that:

84=2^2*3*7

108=2^2*3^3

Ok, now to find the LCM we must consider the common factors with ...

#### Solution Summary

Lowest common multiples are found. The possible values are given

$2.19