What is the LCM of 23 and 46?

What's the Least Common Multiple (LCM) of 23 and 46?

Answer

LCM of 23 and 46 is

46

First common multiples: 46, 92, 138, …

As a common denominator: multiply the top and bottom of x/23 by 2.

23 divides 46 (46 ÷ 23 = 2), so the LCM is the larger number itself.

23 — prime

46 = 2 × 23

Prime	23	46	Highest power
2	—	2	2
23	23	23	23

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

LCM = 2 × 23 = 46

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