LCM for 108 and 132

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What's the Least Common Multiple (LCM) of 108 and 132?

Answer

LCM of 108 and 132 is
1,188

First common multiples: 1,188; 2,376; 3,564; …

1,188 is divisible by both: 1,188 ÷ 108 = 11; 1,188 ÷ 132 = 9 — and 11 and 9 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/108 by 11 and of y/132 by 9.

108 = 22 × 33

132 = 22 × 3 × 11

Prime108132Highest power
2222222
333333
11—1111

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

LCM = 22 × 33 × 11 = 1,188

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
1081171,404
1081186,372
10811912,852
1081201,080
10812113,068
1081226,588
1081234,428
1081243,348
10812513,500
108126756
10812713,716
1081283,456
1081294,644
1081307,020
10813114,148
1081321,188
10813314,364
1081347,236
108135540
1081363,672
10813714,796
1081382,484
10813915,012
1081403,780
1081415,076
1081427,668
10814315,444
108144432
10814515,660
1081467,884

FAQ

What's the Least Common Multiple (LCM) of 108 and 132?

LCM of 108 and 132 is 1,188

How to find the LCM of 108 and 132 using prime factorization?

To find the LCM of 108 and 132, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,188.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 108 and 132: LCM = 1,188, GCF = 12.

See Also