LCM for 5, 25 and 65

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What's the Least Common Multiple (LCM) of 5, 25 and 65?

Answer

LCM of 5, 25 and 65 is
325

First common multiples: 325, 650, 975, …

325 is divisible by all three: 325 ÷ 5 = 65, 325 ÷ 25 = 13, 325 ÷ 65 = 5 — and 65, 13 and 5 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/5 by 65 and of y/25 by 13 and of z/65 by 5.

5 — prime

25 = 52

65 = 5 × 13

Prime52565Highest power
5552552
13——1313

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

LCM = 52 × 13 = 325

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LCM Table

1st2nd3rdLCM
5255050
525511,275
525521,300
525531,325
525541,350
52555275
525561,400
525571,425
525581,450
525591,475
52560300
525611,525
525621,550
525631,575
525641,600
52565325
525661,650
525671,675
525681,700
525691,725
52570350
525711,775
525721,800
525731,825
525741,850
5257575
525761,900
525771,925
525781,950
525791,975

FAQ

What's the Least Common Multiple (LCM) of 5, 25 and 65?

LCM of 5, 25 and 65 is 325

How to find the LCM of 5, 25 and 65 by prime factorization?

Take every prime that appears in 5, 25 and 65 to the highest power it reaches in any one of them and multiply: 5² × 13 = 325.

Can you get the LCM of 5, 25 and 65 two numbers at a time?

Yes. The LCM of 5 and 25 is 25, and the LCM of 25 and 65 is 325 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 325 divisible by 5, 25 and 65?

Yes, and by definition it is the smallest positive integer that is: 325 ÷ 5, 325 ÷ 25 and 325 ÷ 65 all come out whole. Any other common multiple of 5, 25 and 65 is a multiple of 325.

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