LCM for 108 and 144

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What's the Least Common Multiple (LCM) of 108 and 144?

Answer

LCM of 108 and 144 is
432

First common multiples: 432; 864; 1,296; …

432 is divisible by both: 432 ÷ 108 = 4, 432 ÷ 144 = 3 — and 4 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/108 by 4 and of y/144 by 3.

108 = 22 × 33

144 = 24 × 32

Prime108144Highest power
2222424
3333233

LCM = 24 × 33 = 432

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
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
1081475,292
1081483,996
10814916,092
1081502,700
10815116,308
1081524,104
1081531,836
1081548,316
10815516,740
1081561,404
10815716,956
1081588,532

FAQ

What's the Least Common Multiple (LCM) of 108 and 144?

LCM of 108 and 144 is 432

How to find the LCM of 108 and 144 using prime factorization?

To find the LCM of 108 and 144, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 432.

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 144: LCM = 432, GCF = 36.

See Also