What is the LCM of 255 and 510?

What's the Least Common Multiple (LCM) of 255 and 510?

Answer

LCM of 255 and 510 is

510

First common multiples: 510; 1,020; 1,530; …

As a common denominator: multiply the top and bottom of x/255 by 2.

255 divides 510 (510 ÷ 255 = 2), so the LCM is the larger number itself.

255 = 3 × 5 × 17

510 = 2 × 3 × 5 × 17

Prime	255	510	Highest power
2	—	2	2
3	3	3	3
5	5	5	5
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 × 5 × 17 = 510

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