LCM for 20 and 170

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What's the Least Common Multiple (LCM) of 20 and 170?

Answer

LCM of 20 and 170 is
340

First common multiples: 340; 680; 1,020; …

340 is divisible by both: 340 ÷ 20 = 17, 340 ÷ 170 = 2 — and 17 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 17 and of y/170 by 2.

20 = 22 × 5

170 = 2 × 5 × 17

Prime20170Highest power
222222
5555
17—1717

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

LCM = 22 × 5 × 17 = 340

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LCM Table

Number 1Number 2LCM
2058580
206060
2070140
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

FAQ

What's the Least Common Multiple (LCM) of 20 and 170?

LCM of 20 and 170 is 340

How to find the LCM of 20 and 170 using prime factorization?

To find the LCM of 20 and 170, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 340.

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 170: LCM = 340, GCF = 10.

See Also