LCM for 15, 27 and 45

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What's the Least Common Multiple (LCM) of 15, 27 and 45?

Answer

LCM of 15, 27 and 45 is
135

First common multiples: 135, 270, 405, …

135 is divisible by all three: 135 ÷ 15 = 9, 135 ÷ 27 = 5, 135 ÷ 45 = 3 — and 9, 5 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/15 by 9 and of y/27 by 5 and of z/45 by 3.

15 = 3 × 5

27 = 33

45 = 32 × 5

Prime152745Highest power
33333233
55—55

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

LCM = 33 × 5 = 135

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LCM Table

1st2nd3rdLCM
152730270
1527314,185
1527324,320
1527331,485
1527344,590
152735945
152736540
1527374,995
1527385,130
1527391,755
1527401,080
1527415,535
1527421,890
1527435,805
1527445,940
152745135
1527466,210
1527476,345
1527482,160
1527496,615
1527501,350
1527512,295
1527527,020
1527537,155
152754270
1527551,485
1527567,560
1527572,565
1527587,830
1527597,965

FAQ

What's the Least Common Multiple (LCM) of 15, 27 and 45?

LCM of 15, 27 and 45 is 135

How to find the LCM of 15, 27 and 45 by prime factorization?

Take every prime that appears in 15, 27 and 45 to the highest power it reaches in any one of them and multiply: 3³ × 5 = 135.

Can you get the LCM of 15, 27 and 45 two numbers at a time?

Yes. The LCM of 15 and 27 is 135, and the LCM of 135 and 45 is 135 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 135 divisible by 15, 27 and 45?

Yes, and by definition it is the smallest positive integer that is: 135 ÷ 15, 135 ÷ 27 and 135 ÷ 45 all come out whole. Any other common multiple of 15, 27 and 45 is a multiple of 135.

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