LCM for 20 and 165

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 20 and 165?

Answer

LCM of 20 and 165 is
660

First common multiples: 660; 1,320; 1,980; …

660 is divisible by both: 660 ÷ 20 = 33, 660 ÷ 165 = 4 — and 33 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 33 and of y/165 by 4.

20 = 22 × 5

165 = 3 × 5 × 11

Prime20165Highest power
222—22
3—33
5555
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 × 3 × 5 × 11 = 660

More with these numbers

Related Calculations

See Also

LCM Table

Number 1Number 2LCM
2055220
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

FAQ

What's the Least Common Multiple (LCM) of 20 and 165?

LCM of 20 and 165 is 660

How to find the LCM of 20 and 165 using prime factorization?

To find the LCM of 20 and 165, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 660.

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 165: LCM = 660, GCF = 5.

See Also