LCM for 4, 8 and 16

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What's the Least Common Multiple (LCM) of 4, 8 and 16?

Answer

LCM of 4, 8 and 16 is
16

First common multiples: 16, 32, 48, …

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

4 = 22

8 = 23

16 = 24

Prime4816Highest power
222232424

LCM = 24 = 16

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LCM Table

1st2nd3rdLCM
1488
2488
34824
4488
45840
46824
47856
4888
48972
481040
481188
481224
4813104
481456
4815120
481616
4817136
481872
4819152
482040
4821168
482288
4823184
482424
4825200
4826104
4827216
482856
4829232
4830120

FAQ

What's the Least Common Multiple (LCM) of 4, 8 and 16?

LCM of 4, 8 and 16 is 16

How to find the LCM of 4, 8 and 16 by prime factorization?

Take every prime that appears in 4, 8 and 16 to the highest power it reaches in any one of them and multiply: 2⁴ = 16.

Can you get the LCM of 4, 8 and 16 two numbers at a time?

Yes. The LCM of 4 and 8 is 8, and the LCM of 8 and 16 is 16 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 16 divisible by 4, 8 and 16?

Yes, and by definition it is the smallest positive integer that is: 16 ÷ 4, 16 ÷ 8 and 16 ÷ 16 all come out whole. Any other common multiple of 4, 8 and 16 is a multiple of 16.

See Also