LCM for 210 and 180

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What's the Least Common Multiple (LCM) of 210 and 180?

Answer

LCM of 210 and 180 is
1,260

First common multiples: 1,260; 2,520; 3,780; …

1,260 is divisible by both: 1,260 ÷ 210 = 6; 1,260 ÷ 180 = 7 — and 6 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/210 by 6 and of y/180 by 7.

210 = 2 × 3 × 5 × 7

180 = 22 × 32 × 5

Prime210180Highest power
222222
333232
5555
77—7

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

LCM = 22 × 32 × 5 × 7 = 1,260

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
2101652,310
21016617,430
21016735,070
210168840
21016935,490
2101703,570
21017111,970
21017218,060
21017336,330
2101746,090
2101751,050
21017618,480
21017712,390
21017818,690
21017937,590
2101801,260
21018138,010
2101822,730
21018312,810
21018419,320
2101857,770
2101866,510
21018739,270
21018819,740
2101891,890
2101903,990
21019140,110
2101926,720
21019340,530
21019420,370

FAQ

What's the Least Common Multiple (LCM) of 210 and 180?

LCM of 210 and 180 is 1,260

How to find the LCM of 210 and 180 using prime factorization?

To find the LCM of 210 and 180, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,260.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 210 and 180: LCM = 1,260, GCF = 30.

See Also