LCM for 4, 16 and 36

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What's the Least Common Multiple (LCM) of 4, 16 and 36?

Answer

LCM of 4, 16 and 36 is
144

First common multiples: 144, 288, 432, …

144 is divisible by all three: 144 ÷ 4 = 36, 144 ÷ 16 = 9, 144 ÷ 36 = 4 — and 36, 9 and 4 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/4 by 36 and of y/16 by 9 and of z/36 by 4.

4 = 22

16 = 24

36 = 22 × 32

Prime41636Highest power
222242224
3——3232

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

LCM = 24 × 32 = 144

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LCM Table

1st2nd3rdLCM
41621336
41622176
41623368
4162448
41625400
41626208
41627432
41628112
41629464
41630240
41631496
4163232
41633528
41634272
41635560
41636144
41637592
41638304
41639624
4164080
41641656
41642336
41643688
41644176
41645720
41646368
41647752
4164848
41649784
41650400

FAQ

What's the Least Common Multiple (LCM) of 4, 16 and 36?

LCM of 4, 16 and 36 is 144

How to find the LCM of 4, 16 and 36 by prime factorization?

Take every prime that appears in 4, 16 and 36 to the highest power it reaches in any one of them and multiply: 2⁴ × 3² = 144.

Can you get the LCM of 4, 16 and 36 two numbers at a time?

Yes. The LCM of 4 and 16 is 16, and the LCM of 16 and 36 is 144 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 144 divisible by 4, 16 and 36?

Yes, and by definition it is the smallest positive integer that is: 144 ÷ 4, 144 ÷ 16 and 144 ÷ 36 all come out whole. Any other common multiple of 4, 16 and 36 is a multiple of 144.

See Also