LCM for 20 and 470

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What's the Least Common Multiple (LCM) of 20 and 470?

Answer

LCM of 20 and 470 is
940

First common multiples: 940; 1,880; 2,820; …

940 is divisible by both: 940 ÷ 20 = 47, 940 ÷ 470 = 2 — and 47 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 47 and of y/470 by 2.

20 = 22 × 5

470 = 2 × 5 × 47

Prime20470Highest power
222222
5555
47—4747

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

LCM = 22 × 5 × 47 = 940

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
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
20410820
204151,660
20420420
20430860
204351,740
20440440
204451,780
20460460
204651,860
20470940
20480480
20500500

FAQ

What's the Least Common Multiple (LCM) of 20 and 470?

LCM of 20 and 470 is 940

How to find the LCM of 20 and 470 using prime factorization?

To find the LCM of 20 and 470, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 940.

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 470: LCM = 940, GCF = 10.

See Also