What is the LCM of 2 and 34?

What's the Least Common Multiple (LCM) of 2 and 34?

Answer

LCM of 2 and 34 is

34

First common multiples: 34, 68, 102, …

As a common denominator: multiply the top and bottom of x/2 by 17.

2 divides 34 (34 ÷ 2 = 17), so the LCM is the larger number itself.

2 — prime

34 = 2 × 17

Prime	2	34	Highest power
2	2	2	2
17	—	17	17

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

LCM = 2 × 17 = 34

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