LCM for 20 and 400

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What's the Least Common Multiple (LCM) of 20 and 400?

Answer

LCM of 20 and 400 is
400

First common multiples: 400; 800; 1,200; …

As a common denominator: multiply the top and bottom of x/20 by 20.

20 divides 400 (400 ÷ 20 = 20), so the LCM is the larger number itself.

20 = 22 × 5

400 = 24 × 52

Prime20400Highest power
2222424
555252

LCM = 24 × 52 = 400

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LCM Table

Number 1Number 2LCM
20185740
20190380
20210420
20220220
20225900
20230460
202551,020
202751,100
202851,140
20290580
202951,180
20300300
203051,220
203251,300
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 400?

LCM of 20 and 400 is 400

How to find the LCM of 20 and 400 using prime factorization?

To find the LCM of 20 and 400, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 400.

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 400: LCM = 400, GCF = 20.

See Also