LCM for 20, 28 and 36

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What's the Least Common Multiple (LCM) of 20, 28 and 36?

Answer

LCM of 20, 28 and 36 is
1,260

First common multiples: 1,260; 2,520; 3,780; …

1,260 is divisible by all three: 1,260 ÷ 20 = 63; 1,260 ÷ 28 = 45; 1,260 ÷ 36 = 35 — and 63, 45 and 35 have no factor but 1 common to all of them, so no smaller number is. As a common denominator: multiply the top and bottom of x/20 by 63 and of y/28 by 45 and of z/36 by 35.

20 = 22 × 5

28 = 22 × 7

36 = 22 × 32

Prime202836Highest power
222222222
3——3232
55——5
7—7—7

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

LCM = 22 × 32 × 5 × 7 = 1,260

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LCM Table

1st2nd3rdLCM
202128420
2022281,540
2023283,220
202428840
202528700
2026281,820
2027283,780
202828140
2028294,060
202830420
2028314,340
2028321,120
2028334,620
2028342,380
202835140
2028361,260
2028375,180
2028382,660
2028395,460
202840280
2028415,740
202842420
2028436,020
2028441,540
2028451,260
2028463,220
2028476,580
2028481,680
202849980
202850700

FAQ

What's the Least Common Multiple (LCM) of 20, 28 and 36?

LCM of 20, 28 and 36 is 1,260

How to find the LCM of 20, 28 and 36 by prime factorization?

Take every prime that appears in 20, 28 and 36 to the highest power it reaches in any one of them and multiply: 2² × 3² × 5 × 7 = 1,260.

Can you get the LCM of 20, 28 and 36 two numbers at a time?

Yes. The LCM of 20 and 28 is 140, and the LCM of 140 and 36 is 1,260 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 1,260 divisible by 20, 28 and 36?

Yes, and by definition it is the smallest positive integer that is: 1,260 ÷ 20, 1,260 ÷ 28 and 1,260 ÷ 36 all come out whole. Any other common multiple of 20, 28 and 36 is a multiple of 1,260.

See Also