What is the LCM of 13 and 52?

What's the Least Common Multiple (LCM) of 13 and 52?

Answer

LCM of 13 and 52 is

52

First common multiples: 52, 104, 156, …

As a common denominator: multiply the top and bottom of x/13 by 4.

13 divides 52 (52 ÷ 13 = 4), so the LCM is the larger number itself.

13 — prime

52 = 2² × 13

Prime	13	52	Highest power
2	—	2²	2²
13	13	13	13

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 2² × 13 = 52

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