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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.

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.

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