LCM for 9, 15 and 25

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What's the Least Common Multiple (LCM) of 9, 15 and 25?

Answer

LCM of 9, 15 and 25 is
225

First common multiples: 225, 450, 675, …

225 is divisible by all three: 225 ÷ 9 = 25, 225 ÷ 15 = 15, 225 ÷ 25 = 9 — and 25, 15 and 9 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/9 by 25 and of y/15 by 15 and of z/25 by 9.

9 = 32

15 = 3 × 5

25 = 52

Prime91525Highest power
3323—32
5—55252

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

LCM = 32 × 52 = 225

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LCM Table

1st2nd3rdLCM
9101590
91115495
91215180
91315585
91415630
9151545
91516720
91517765
9151890
91519855
91520180
91521315
91522990
915231,035
91524360
91525225
915261,170
91527135
915281,260
915291,305
9153090
915311,395
915321,440
91533495
915341,530
91535315
91536180
915371,665
915381,710
91539585

FAQ

What's the Least Common Multiple (LCM) of 9, 15 and 25?

LCM of 9, 15 and 25 is 225

How to find the LCM of 9, 15 and 25 by prime factorization?

Take every prime that appears in 9, 15 and 25 to the highest power it reaches in any one of them and multiply: 3² × 5² = 225.

Can you get the LCM of 9, 15 and 25 two numbers at a time?

Yes. The LCM of 9 and 15 is 45, and the LCM of 45 and 25 is 225 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 225 divisible by 9, 15 and 25?

Yes, and by definition it is the smallest positive integer that is: 225 ÷ 9, 225 ÷ 15 and 225 ÷ 25 all come out whole. Any other common multiple of 9, 15 and 25 is a multiple of 225.

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