LCM for 210 and 2,730

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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

Prime2102,730Highest power
2222
3333
5555
7777
13—1313

— = 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

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
2102,71538,010
2102,71640,740
2102,717570,570
2102,71895,130
2102,719570,990
2102,72057,120
2102,721190,470
2102,722285,810
2102,72381,690
2102,72495,340
2102,725114,450
2102,726286,230
2102,727190,890
2102,728286,440
2102,729573,090
2102,7302,730
2102,731573,510
2102,732286,860
2102,733191,310
2102,734287,070
2102,735114,870
2102,73695,760
2102,73782,110
2102,738287,490
2102,739191,730
2102,74057,540
2102,741575,610
2102,74295,970
2102,743576,030
2102,74441,160

FAQ

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

LCM of 210 and 2,730 is 2,730

How to find the LCM of 210 and 2,730 using prime factorization?

To find the LCM of 210 and 2,730, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,730.

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 2,730: LCM = 2,730, GCF = 210.

See Also