LCM for 4, 18 and 24

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Least Common Multiple of
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What's the Least Common Multiple (LCM) of 4, 18 and 24?

Answer

LCM of 4, 18 and 24 is
72

First common multiples: 72, 144, 216, …

72 is divisible by all three: 72 ÷ 4 = 18, 72 ÷ 18 = 4, 72 ÷ 24 = 3 — and 18, 4 and 3 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 18 and of y/18 by 4 and of z/24 by 3.

4 = 22

18 = 2 × 32

24 = 23 × 3

Prime41824Highest power
22222323
3—32332

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

LCM = 23 × 32 = 72

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LCM Table

1st2nd3rdLCM
491836
41018180
41118396
4121836
41318468
41418252
41518180
41618144
41718612
4181836
41819684
41820180
41821252
41822396
41823828
4182472
41825900
41826468
41827108
41828252
418291,044
41830180
418311,116
41832288
41833396
41834612
418351,260
4183636
418371,332
41838684

FAQ

What's the Least Common Multiple (LCM) of 4, 18 and 24?

LCM of 4, 18 and 24 is 72

How to find the LCM of 4, 18 and 24 by prime factorization?

Take every prime that appears in 4, 18 and 24 to the highest power it reaches in any one of them and multiply: 2³ × 3² = 72.

Can you get the LCM of 4, 18 and 24 two numbers at a time?

Yes. The LCM of 4 and 18 is 36, and the LCM of 36 and 24 is 72 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 72 divisible by 4, 18 and 24?

Yes, and by definition it is the smallest positive integer that is: 72 ÷ 4, 72 ÷ 18 and 72 ÷ 24 all come out whole. Any other common multiple of 4, 18 and 24 is a multiple of 72.

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