What is the LCM of 20 and 300?

What's the Least Common Multiple (LCM) of 20 and 300?

Answer

LCM of 20 and 300 is

300

First common multiples: 300, 600, 900, …

As a common denominator: multiply the top and bottom of x/20 by 15.

20 divides 300 (300 ÷ 20 = 15), so the LCM is the larger number itself.

20 = 2² × 5

300 = 2² × 3 × 5²

Prime	20	300	Highest power
2	2²	2²	2²
3	—	3	3
5	5	5²	5²

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

LCM = 2² × 3 × 5² = 300

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