LCM for 3, 9 and 27

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What's the Least Common Multiple (LCM) of 3, 9 and 27?

Answer

LCM of 3, 9 and 27 is
27

First common multiples: 27, 54, 81, …

27 is divisible by all three: 27 ÷ 3 = 9, 27 ÷ 9 = 3, 27 ÷ 27 = 1 — and 9, 3 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/3 by 9 and of y/9 by 3.

3 — prime

9 = 32

27 = 33

Prime3927Highest power
33323333

LCM = 33 = 27

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LCM Table

1st2nd3rdLCM
391236
3913117
3914126
391545
3916144
3917153
391818
3919171
3920180
392163
3922198
3923207
392472
3925225
3926234
392727
3928252
3929261
393090
3931279
3932288
393399
3934306
3935315
393636
3937333
3938342
3939117
3940360
3941369

FAQ

What's the Least Common Multiple (LCM) of 3, 9 and 27?

LCM of 3, 9 and 27 is 27

How to find the LCM of 3, 9 and 27 by prime factorization?

Take every prime that appears in 3, 9 and 27 to the highest power it reaches in any one of them and multiply: 3³ = 27.

Can you get the LCM of 3, 9 and 27 two numbers at a time?

Yes. The LCM of 3 and 9 is 9, and the LCM of 9 and 27 is 27 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 27 divisible by 3, 9 and 27?

Yes, and by definition it is the smallest positive integer that is: 27 ÷ 3, 27 ÷ 9 and 27 ÷ 27 all come out whole. Any other common multiple of 3, 9 and 27 is a multiple of 27.

See Also