LCM for 20, 25 and 35

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What's the Least Common Multiple (LCM) of 20, 25 and 35?

Answer

LCM of 20, 25 and 35 is
700

First common multiples: 700; 1,400; 2,100; …

700 is divisible by all three: 700 ÷ 20 = 35, 700 ÷ 25 = 28, 700 ÷ 35 = 20 — and 35, 28 and 20 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/20 by 35 and of y/25 by 28 and of z/35 by 20.

20 = 22 × 5

25 = 52

35 = 5 × 7

Prime202535Highest power
222——22
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 = 22 × 52 × 7 = 700

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LCM Table

1st2nd3rdLCM
202025100
2021252,100
2022251,100
2023252,300
202425600
202525100
2025261,300
2025272,700
202528700
2025292,900
202530300
2025313,100
202532800
2025333,300
2025341,700
202535700
202536900
2025373,700
2025381,900
2025393,900
202540200
2025414,100
2025422,100
2025434,300
2025441,100
202545900
2025462,300
2025474,700
2025481,200
2025494,900

FAQ

What's the Least Common Multiple (LCM) of 20, 25 and 35?

LCM of 20, 25 and 35 is 700

How to find the LCM of 20, 25 and 35 by prime factorization?

Take every prime that appears in 20, 25 and 35 to the highest power it reaches in any one of them and multiply: 2² × 5² × 7 = 700.

Can you get the LCM of 20, 25 and 35 two numbers at a time?

Yes. The LCM of 20 and 25 is 100, and the LCM of 100 and 35 is 700 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 700 divisible by 20, 25 and 35?

Yes, and by definition it is the smallest positive integer that is: 700 ÷ 20, 700 ÷ 25 and 700 ÷ 35 all come out whole. Any other common multiple of 20, 25 and 35 is a multiple of 700.

See Also