LCM for 210 and 300

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What's the Least Common Multiple (LCM) of 210 and 300?

Answer

LCM of 210 and 300 is
2,100

First common multiples: 2,100; 4,200; 6,300; …

2,100 is divisible by both: 2,100 ÷ 210 = 10; 2,100 ÷ 300 = 7 — and 10 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 10 and of y/300 by 7.

210 = 2 × 3 × 5 × 7

300 = 22 × 3 × 52

Prime210300Highest power
222222
3333
555252
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 × 3 × 52 × 7 = 2,100

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
2102853,990
21028630,030
2102878,610
21028810,080
21028960,690
2102906,090
21029120,370
21029230,660
21029361,530
2102941,470
21029512,390
21029631,080
21029720,790
21029831,290
21029962,790
2103002,100
2103019,030
21030231,710
21030321,210
21030431,920
21030512,810
21030610,710
21030764,470
2103084,620
21030921,630
2103106,510
21031165,310
21031210,920
21031365,730
21031432,970

FAQ

What's the Least Common Multiple (LCM) of 210 and 300?

LCM of 210 and 300 is 2,100

How to find the LCM of 210 and 300 using prime factorization?

To find the LCM of 210 and 300, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,100.

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 300: LCM = 2,100, GCF = 30.

See Also