LCM for 4, 9 and 36

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What's the Least Common Multiple (LCM) of 4, 9 and 36?

Answer

LCM of 4, 9 and 36 is
36

First common multiples: 36, 72, 108, …

36 is divisible by all three: 36 ÷ 4 = 9, 36 ÷ 9 = 4, 36 ÷ 36 = 1 — and 9, 4 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 9 and of y/9 by 4.

4 = 22

9 = 32

36 = 22 × 32

Prime4936Highest power
222—2222
3—323232

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

LCM = 22 × 32 = 36

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LCM Table

1st2nd3rdLCM
4921252
4922396
4923828
492472
4925900
4926468
4927108
4928252
49291,044
4930180
49311,116
4932288
4933396
4934612
49351,260
493636
49371,332
4938684
4939468
4940360
49411,476
4942252
49431,548
4944396
4945180
4946828
49471,692
4948144
49491,764
4950900

FAQ

What's the Least Common Multiple (LCM) of 4, 9 and 36?

LCM of 4, 9 and 36 is 36

How to find the LCM of 4, 9 and 36 by prime factorization?

Take every prime that appears in 4, 9 and 36 to the highest power it reaches in any one of them and multiply: 2² × 3² = 36.

Can you get the LCM of 4, 9 and 36 two numbers at a time?

Yes. The LCM of 4 and 9 is 36, and the LCM of 36 and 36 is 36 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 36 divisible by 4, 9 and 36?

Yes, and by definition it is the smallest positive integer that is: 36 ÷ 4, 36 ÷ 9 and 36 ÷ 36 all come out whole. Any other common multiple of 4, 9 and 36 is a multiple of 36.

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