LCM for 16, 32 and 40

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What's the Least Common Multiple (LCM) of 16, 32 and 40?

Answer

LCM of 16, 32 and 40 is
160

First common multiples: 160, 320, 480, …

160 is divisible by all three: 160 ÷ 16 = 10, 160 ÷ 32 = 5, 160 ÷ 40 = 4 — and 10, 5 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/16 by 10 and of y/32 by 5 and of z/40 by 4.

16 = 24

32 = 25

40 = 23 × 5

Prime163240Highest power
224252325
5——55

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

LCM = 25 × 5 = 160

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LCM Table

1st2nd3rdLCM
162532800
162632416
162732864
162832224
162932928
163032480
163132992
16323232
1632331,056
163234544
1632351,120
163236288
1632371,184
163238608
1632391,248
163240160
1632411,312
163242672
1632431,376
163244352
1632451,440
163246736
1632471,504
16324896
1632491,568
163250800
1632511,632
163252416
1632531,696
163254864

FAQ

What's the Least Common Multiple (LCM) of 16, 32 and 40?

LCM of 16, 32 and 40 is 160

How to find the LCM of 16, 32 and 40 by prime factorization?

Take every prime that appears in 16, 32 and 40 to the highest power it reaches in any one of them and multiply: 2⁵ × 5 = 160.

Can you get the LCM of 16, 32 and 40 two numbers at a time?

Yes. The LCM of 16 and 32 is 32, and the LCM of 32 and 40 is 160 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 160 divisible by 16, 32 and 40?

Yes, and by definition it is the smallest positive integer that is: 160 ÷ 16, 160 ÷ 32 and 160 ÷ 40 all come out whole. Any other common multiple of 16, 32 and 40 is a multiple of 160.

See Also