LCM for 18, 27 and 36

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What's the Least Common Multiple (LCM) of 18, 27 and 36?

Answer

LCM of 18, 27 and 36 is
108

First common multiples: 108, 216, 324, …

108 is divisible by all three: 108 ÷ 18 = 6, 108 ÷ 27 = 4, 108 ÷ 36 = 3 — and 6, 4 and 3 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/18 by 6 and of y/27 by 4 and of z/36 by 3.

18 = 2 × 32

27 = 33

36 = 22 × 32

Prime182736Highest power
22—2222
332333233

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

LCM = 22 × 33 = 108

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LCM Table

1st2nd3rdLCM
182127378
182227594
1823271,242
182427216
1825271,350
182627702
18272754
182728756
1827291,566
182730270
1827311,674
182732864
182733594
182734918
1827351,890
182736108
1827371,998
1827381,026
182739702
1827401,080
1827412,214
182742378
1827432,322
1827441,188
182745270
1827461,242
1827472,538
182748432
1827492,646
1827501,350

FAQ

What's the Least Common Multiple (LCM) of 18, 27 and 36?

LCM of 18, 27 and 36 is 108

How to find the LCM of 18, 27 and 36 by prime factorization?

Take every prime that appears in 18, 27 and 36 to the highest power it reaches in any one of them and multiply: 2² × 3³ = 108.

Can you get the LCM of 18, 27 and 36 two numbers at a time?

Yes. The LCM of 18 and 27 is 54, and the LCM of 54 and 36 is 108 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 108 divisible by 18, 27 and 36?

Yes, and by definition it is the smallest positive integer that is: 108 ÷ 18, 108 ÷ 27 and 108 ÷ 36 all come out whole. Any other common multiple of 18, 27 and 36 is a multiple of 108.

See Also