What is the LCM of 14 and 28?

What's the Least Common Multiple (LCM) of 14 and 28?

Answer

LCM of 14 and 28 is

28

First common multiples: 28, 56, 84, …

As a common denominator: multiply the top and bottom of x/14 by 2.

14 divides 28 (28 ÷ 14 = 2), so the LCM is the larger number itself.

14 = 2 × 7

28 = 2² × 7

Prime	14	28	Highest power
2	2	2²	2²
7	7	7	7

LCM = 2² × 7 = 28

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