What is the LCM of 13 and 65?

What's the Least Common Multiple (LCM) of 13 and 65?

Answer

LCM of 13 and 65 is

65

First common multiples: 65, 130, 195, …

As a common denominator: multiply the top and bottom of x/13 by 5.

13 divides 65 (65 ÷ 13 = 5), so the LCM is the larger number itself.

13 — prime

65 = 5 × 13

Prime	13	65	Highest power
5	—	5	5
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 = 5 × 13 = 65

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