LCM for 20 and 285

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What's the Least Common Multiple (LCM) of 20 and 285?

Answer

LCM of 20 and 285 is
1,140

First common multiples: 1,140; 2,280; 3,420; …

1,140 is divisible by both: 1,140 ÷ 20 = 57; 1,140 ÷ 285 = 4 — and 57 and 4 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/20 by 57 and of y/285 by 4.

20 = 22 × 5

285 = 3 × 5 × 19

Prime20285Highest power
222—22
3—33
5555
19—1919

— = 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 × 19 = 1,140

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LCM Table

Number 1Number 2LCM
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
20410820
204151,660
20420420
20430860
204351,740
20440440

FAQ

What's the Least Common Multiple (LCM) of 20 and 285?

LCM of 20 and 285 is 1,140

How to find the LCM of 20 and 285 using prime factorization?

To find the LCM of 20 and 285, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,140.

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 285: LCM = 1,140, GCF = 5.

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