LCM for 20 and 275

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What's the Least Common Multiple (LCM) of 20 and 275?

Answer

LCM of 20 and 275 is
1,100

First common multiples: 1,100; 2,200; 3,300; …

1,100 is divisible by both: 1,100 ÷ 20 = 55; 1,100 ÷ 275 = 4 — and 55 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 55 and of y/275 by 4.

20 = 22 × 5

275 = 52 × 11

Prime20275Highest power
222—22
555252
11—1111

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

LCM = 22 × 52 × 11 = 1,100

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LCM Table

Number 1Number 2LCM
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
203251,300
203351,340
20350700
203551,420
20400400
20410820
204151,660
20420420
20430860

FAQ

What's the Least Common Multiple (LCM) of 20 and 275?

LCM of 20 and 275 is 1,100

How to find the LCM of 20 and 275 using prime factorization?

To find the LCM of 20 and 275, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,100.

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 20 and 275: LCM = 1,100, GCF = 5.

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