LCM for 8, 16 and 32

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What's the Least Common Multiple (LCM) of 8, 16 and 32?

Answer

LCM of 8, 16 and 32 is
32

First common multiples: 32, 64, 96, …

32 is divisible by all three: 32 ÷ 8 = 4, 32 ÷ 16 = 2, 32 ÷ 32 = 1 — and 4, 2 and 1 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/8 by 4 and of y/16 by 2.

8 = 23

16 = 24

32 = 25

Prime81632Highest power
223242525

LCM = 25 = 32

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LCM Table

1st2nd3rdLCM
81617272
81618144
81619304
8162080
81621336
81622176
81623368
8162448
81625400
81626208
81627432
81628112
81629464
81630240
81631496
8163232
81633528
81634272
81635560
81636144
81637592
81638304
81639624
8164080
81641656
81642336
81643688
81644176
81645720
81646368

FAQ

What's the Least Common Multiple (LCM) of 8, 16 and 32?

LCM of 8, 16 and 32 is 32

How to find the LCM of 8, 16 and 32 by prime factorization?

Take every prime that appears in 8, 16 and 32 to the highest power it reaches in any one of them and multiply: 2⁵ = 32.

Can you get the LCM of 8, 16 and 32 two numbers at a time?

Yes. The LCM of 8 and 16 is 16, and the LCM of 16 and 32 is 32 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 32 divisible by 8, 16 and 32?

Yes, and by definition it is the smallest positive integer that is: 32 ÷ 8, 32 ÷ 16 and 32 ÷ 32 all come out whole. Any other common multiple of 8, 16 and 32 is a multiple of 32.

See Also