LCM for 20 and 210

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What's the Least Common Multiple (LCM) of 20 and 210?

Answer

LCM of 20 and 210 is
420

First common multiples: 420; 840; 1,260; …

420 is divisible by both: 420 ÷ 20 = 21, 420 ÷ 210 = 2 — and 21 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/20 by 21 and of y/210 by 2.

20 = 22 × 5

210 = 2 × 3 × 5 × 7

Prime20210Highest power
222222
3—33
5555
7—77

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

LCM = 22 × 3 × 5 × 7 = 420

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LCM Table

Number 1Number 2LCM
2084420
2090180
20100100
20105420
20125500
20135540
20140140
20145580
20150300
20160160
20165660
20170340
20175700
20185740
20190380
20210420
20220220
20225900
20230460
202551,020
202751,100
202851,140
20290580
202951,180
20300300
203051,220
203351,340
20350700
203551,420
20400400

FAQ

What's the Least Common Multiple (LCM) of 20 and 210?

LCM of 20 and 210 is 420

How to find the LCM of 20 and 210 using prime factorization?

To find the LCM of 20 and 210, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 420.

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 20 and 210: LCM = 420, GCF = 10.

See Also