LCM for 16, 20 and 32

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What's the Least Common Multiple (LCM) of 16, 20 and 32?

Answer

LCM of 16, 20 and 32 is
160

First common multiples: 160, 320, 480, …

160 is divisible by all three: 160 ÷ 16 = 10, 160 ÷ 20 = 8, 160 ÷ 32 = 5 — and 10, 8 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/16 by 10 and of y/20 by 8 and of z/32 by 5.

16 = 24

20 = 22 × 5

32 = 25

Prime162032Highest power
224222525
5—5—5

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

LCM = 25 × 5 = 160

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LCM Table

1st2nd3rdLCM
1617201,360
161820720
1619201,520
16202080
1620211,680
162022880
1620231,840
162024240
162025400
1620261,040
1620272,160
162028560
1620292,320
162030240
1620312,480
162032160
1620332,640
1620341,360
162035560
162036720
1620372,960
1620381,520
1620393,120
16204080
1620413,280
1620421,680
1620433,440
162044880
162045720
1620461,840

FAQ

What's the Least Common Multiple (LCM) of 16, 20 and 32?

LCM of 16, 20 and 32 is 160

How to find the LCM of 16, 20 and 32 by prime factorization?

Take every prime that appears in 16, 20 and 32 to the highest power it reaches in any one of them and multiply: 2⁵ × 5 = 160.

Can you get the LCM of 16, 20 and 32 two numbers at a time?

Yes. The LCM of 16 and 20 is 80, and the LCM of 80 and 32 is 160 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 160 divisible by 16, 20 and 32?

Yes, and by definition it is the smallest positive integer that is: 160 ÷ 16, 160 ÷ 20 and 160 ÷ 32 all come out whole. Any other common multiple of 16, 20 and 32 is a multiple of 160.

See Also