LCM for 15, 25 and 75

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What's the Least Common Multiple (LCM) of 15, 25 and 75?

Answer

LCM of 15, 25 and 75 is
75

First common multiples: 75, 150, 225, …

75 is divisible by all three: 75 ÷ 15 = 5, 75 ÷ 25 = 3, 75 ÷ 75 = 1 — and 5, 3 and 1 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 5 and of y/25 by 3.

15 = 3 × 5

25 = 52

75 = 3 × 52

Prime152575Highest power
33—33
55525252

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

LCM = 3 × 52 = 75

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See Also

LCM Table

1st2nd3rdLCM
152560300
1525614,575
1525624,650
1525631,575
1525644,800
152565975
1525661,650
1525675,025
1525685,100
1525691,725
1525701,050
1525715,325
1525721,800
1525735,475
1525745,550
15257575
1525765,700
1525775,775
1525781,950
1525795,925
1525801,200
1525812,025
1525826,150
1525836,225
1525842,100
1525851,275
1525866,450
1525872,175
1525886,600
1525896,675

FAQ

What's the Least Common Multiple (LCM) of 15, 25 and 75?

LCM of 15, 25 and 75 is 75

How to find the LCM of 15, 25 and 75 by prime factorization?

Take every prime that appears in 15, 25 and 75 to the highest power it reaches in any one of them and multiply: 3 × 5² = 75.

Can you get the LCM of 15, 25 and 75 two numbers at a time?

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

Is 75 divisible by 15, 25 and 75?

Yes, and by definition it is the smallest positive integer that is: 75 ÷ 15, 75 ÷ 25 and 75 ÷ 75 all come out whole. Any other common multiple of 15, 25 and 75 is a multiple of 75.

See Also