What is the LCM of 210 and 2,730?

What's the Least Common Multiple (LCM) of 210 and 2,730?

Answer

LCM of 210 and 2,730 is

2,730

First common multiples: 2,730; 5,460; 8,190; …

As a common denominator: multiply the top and bottom of x/210 by 13.

210 divides 2,730 (2,730 ÷ 210 = 13), so the LCM is the larger number itself.

210 = 2 × 3 × 5 × 7

2,730 = 2 × 3 × 5 × 7 × 13

Prime	210	2,730	Highest power
2	2	2	2
3	3	3	3
5	5	5	5
7	7	7	7
13	—	13	13

— = 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 × 7 × 13 = 2,730

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