LCM for 96 and 36

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What's the Least Common Multiple (LCM) of 96 and 36?

Answer

LCM of 96 and 36 is
288

First common multiples: 288, 576, 864, …

288 is divisible by both: 288 ÷ 96 = 3, 288 ÷ 36 = 8 — and 3 and 8 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/96 by 3 and of y/36 by 8.

96 = 25 × 3

36 = 22 × 32

Prime9636Highest power
2252225
333232

LCM = 25 × 32 = 288

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
9621672
96221,056
96232,208
962496
96252,400
96261,248
9627864
9628672
96292,784
9630480
96312,976
963296
96331,056
96341,632
96353,360
9636288
96373,552
96381,824
96391,248
9640480
96413,936
9642672
96434,128
96441,056
96451,440
96462,208
96474,512
964896
96494,704
96502,400

FAQ

What's the Least Common Multiple (LCM) of 96 and 36?

LCM of 96 and 36 is 288

How to find the LCM of 96 and 36 using prime factorization?

To find the LCM of 96 and 36, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 288.

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 96 and 36: LCM = 288, GCF = 12.

See Also