What is the LCM of 51 and 102?

What's the Least Common Multiple (LCM) of 51 and 102?

Answer

LCM of 51 and 102 is

102

First common multiples: 102, 204, 306, …

As a common denominator: multiply the top and bottom of x/51 by 2.

51 divides 102 (102 ÷ 51 = 2), so the LCM is the larger number itself.

51 = 3 × 17

102 = 2 × 3 × 17

Prime	51	102	Highest power
2	—	2	2
3	3	3	3
17	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 × 3 × 17 = 102

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