LCM for 32 and 72

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What's the Least Common Multiple (LCM) of 32 and 72?

Answer

LCM of 32 and 72 is
288

First common multiples: 288, 576, 864, …

288 is divisible by both: 288 ÷ 32 = 9, 288 ÷ 72 = 4 — and 9 and 4 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/32 by 9 and of y/72 by 4.

32 = 25

72 = 23 × 32

Prime3272Highest power
2252325
3—3232

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

LCM = 25 × 32 = 288

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LCM Table

Number 1Number 2LCM
3236288
32371,184
3238608
32391,248
3240160
3242672
32451,440
32471,504
324896
32491,568
32531,696
3254864
3256224
3258928
32591,888
3260480
3272288
3280160
32812,592
3284672
32901,440
329696
32128128
32176352

FAQ

What's the Least Common Multiple (LCM) of 32 and 72?

LCM of 32 and 72 is 288

How to find the LCM of 32 and 72 using prime factorization?

To find the LCM of 32 and 72, 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 32 and 72: LCM = 288, GCF = 8.

See Also