LCM for 8, 16 and 20

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What's the Least Common Multiple (LCM) of 8, 16 and 20?

Answer

LCM of 8, 16 and 20 is
80

First common multiples: 80, 160, 240, …

80 is divisible by all three: 80 ÷ 8 = 10, 80 ÷ 16 = 5, 80 ÷ 20 = 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/8 by 10 and of y/16 by 5 and of z/20 by 4.

8 = 23

16 = 24

20 = 22 × 5

Prime81620Highest power
223242224
5——55

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

LCM = 24 × 5 = 80

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LCM Table

1st2nd3rdLCM
581680
681648
7816112
881616
8916144
8101680
81116176
8121648
81316208
81416112
81516240
8161616
81617272
81618144
81619304
8162080
81621336
81622176
81623368
8162448
81625400
81626208
81627432
81628112
81629464
81630240
81631496
8163232
81633528
81634272

FAQ

What's the Least Common Multiple (LCM) of 8, 16 and 20?

LCM of 8, 16 and 20 is 80

How to find the LCM of 8, 16 and 20 by prime factorization?

Take every prime that appears in 8, 16 and 20 to the highest power it reaches in any one of them and multiply: 2⁴ × 5 = 80.

Can you get the LCM of 8, 16 and 20 two numbers at a time?

Yes. The LCM of 8 and 16 is 16, and the LCM of 16 and 20 is 80 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 80 divisible by 8, 16 and 20?

Yes, and by definition it is the smallest positive integer that is: 80 ÷ 8, 80 ÷ 16 and 80 ÷ 20 all come out whole. Any other common multiple of 8, 16 and 20 is a multiple of 80.

See Also