LCM for 20 and 190

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What's the Least Common Multiple (LCM) of 20 and 190?

Answer

LCM of 20 and 190 is
380

First common multiples: 380; 760; 1,140; …

380 is divisible by both: 380 ÷ 20 = 19, 380 ÷ 190 = 2 — and 19 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 19 and of y/190 by 2.

20 = 22 × 5

190 = 2 × 5 × 19

Prime20190Highest power
222222
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 × 5 × 19 = 380

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LCM Table

Number 1Number 2LCM
2075300
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

FAQ

What's the Least Common Multiple (LCM) of 20 and 190?

LCM of 20 and 190 is 380

How to find the LCM of 20 and 190 using prime factorization?

To find the LCM of 20 and 190, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 380.

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 190: LCM = 380, GCF = 10.

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