LCM for 108 and 120

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What's the Least Common Multiple (LCM) of 108 and 120?

Answer

LCM of 108 and 120 is
1,080

First common multiples: 1,080; 2,160; 3,240; …

1,080 is divisible by both: 1,080 ÷ 108 = 10; 1,080 ÷ 120 = 9 — and 10 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 10 and of y/120 by 9.

108 = 22 × 33

120 = 23 × 3 × 5

Prime108120Highest power
2222323
333333
5—55

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

LCM = 23 × 33 × 5 = 1,080

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
1081053,780
1081065,724
10810711,556
108108108
10810911,772
1081105,940
1081113,996
1081123,024
10811312,204
1081142,052
10811512,420
1081163,132
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

FAQ

What's the Least Common Multiple (LCM) of 108 and 120?

LCM of 108 and 120 is 1,080

How to find the LCM of 108 and 120 using prime factorization?

To find the LCM of 108 and 120, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,080.

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 120: LCM = 1,080, GCF = 12.

See Also