LCM for 15, 23 and 27

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What's the Least Common Multiple (LCM) of 15, 23 and 27?

Answer

LCM of 15, 23 and 27 is
3,105

First common multiples: 3,105; 6,210; 9,315; …

3,105 is divisible by all three: 3,105 ÷ 15 = 207; 3,105 ÷ 23 = 135; 3,105 ÷ 27 = 115 — and 207, 135 and 115 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 207 and of y/23 by 135 and of z/27 by 115.

15 = 3 × 5

23 — prime

27 = 33

Prime152327Highest power
33—3333
55——5
23—23—23

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

LCM = 33 × 5 × 23 = 3,105

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LCM Table

1st2nd3rdLCM
1215231,380
1315234,485
1415234,830
151523345
1516235,520
1517235,865
1518232,070
1519236,555
1520231,380
1521232,415
1522237,590
152323345
1523242,760
1523251,725
1523268,970
1523273,105
1523289,660
15232910,005
152330690
15233110,695
15233211,040
1523333,795
15233411,730
1523352,415
1523364,140
15233712,765
15233813,110
1523394,485
1523402,760
15234114,145

FAQ

What's the Least Common Multiple (LCM) of 15, 23 and 27?

LCM of 15, 23 and 27 is 3,105

How to find the LCM of 15, 23 and 27 by prime factorization?

Take every prime that appears in 15, 23 and 27 to the highest power it reaches in any one of them and multiply: 3³ × 5 × 23 = 3,105.

Can you get the LCM of 15, 23 and 27 two numbers at a time?

Yes. The LCM of 15 and 23 is 345, and the LCM of 345 and 27 is 3,105 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 3,105 divisible by 15, 23 and 27?

Yes, and by definition it is the smallest positive integer that is: 3,105 ÷ 15, 3,105 ÷ 23 and 3,105 ÷ 27 all come out whole. Any other common multiple of 15, 23 and 27 is a multiple of 3,105.

See Also