What is the LCM of 2 and 38?

What's the Least Common Multiple (LCM) of 2 and 38?

Answer

LCM of 2 and 38 is

38

First common multiples: 38, 76, 114, …

As a common denominator: multiply the top and bottom of x/2 by 19.

2 divides 38 (38 ÷ 2 = 19), so the LCM is the larger number itself.

2 — prime

38 = 2 × 19

Prime	2	38	Highest power
2	2	2	2
19	—	19	19

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

LCM = 2 × 19 = 38

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