LCM for 15, 25 and 35

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What's the Least Common Multiple (LCM) of 15, 25 and 35?

Answer

LCM of 15, 25 and 35 is
525

First common multiples: 525; 1,050; 1,575; …

525 is divisible by all three: 525 ÷ 15 = 35, 525 ÷ 25 = 21, 525 ÷ 35 = 15 — and 35, 21 and 15 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 35 and of y/25 by 21 and of z/35 by 15.

15 = 3 × 5

25 = 52

35 = 5 × 7

Prime152535Highest power
33——3
5552552
7——77

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

LCM = 3 × 52 × 7 = 525

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LCM Table

1st2nd3rdLCM
152025300
152125525
1522251,650
1523251,725
152425600
15252575
1525261,950
152527675
1525282,100
1525292,175
152530150
1525312,325
1525322,400
152533825
1525342,550
152535525
152536900
1525372,775
1525382,850
152539975
152540600
1525413,075
1525421,050
1525433,225
1525443,300
152545225
1525463,450
1525473,525
1525481,200
1525493,675

FAQ

What's the Least Common Multiple (LCM) of 15, 25 and 35?

LCM of 15, 25 and 35 is 525

How to find the LCM of 15, 25 and 35 by prime factorization?

Take every prime that appears in 15, 25 and 35 to the highest power it reaches in any one of them and multiply: 3 × 5² × 7 = 525.

Can you get the LCM of 15, 25 and 35 two numbers at a time?

Yes. The LCM of 15 and 25 is 75, and the LCM of 75 and 35 is 525 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 525 divisible by 15, 25 and 35?

Yes, and by definition it is the smallest positive integer that is: 525 ÷ 15, 525 ÷ 25 and 525 ÷ 35 all come out whole. Any other common multiple of 15, 25 and 35 is a multiple of 525.

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