What is the least common multiple of 14 and 4

28

Step-by-step explanation:

It is often convenient to compute the Least Common Multiple (LCM) as the product of the numbers divided by their greatest common factor. In this case, that would be ...

LCM = (14 * 4) / 2 = 28

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As a check, you can do it by looking at the prime factors of these numbers. The LCM will be the product of the unique factors to their highest powers.

14 = 2·7

4 = 2^2

Unique factors are 2 and 7. The highest power of 2 is 2; the highest power of 7 is 1.

LCM = 2^2·7 = 28