LCM for 72 and 96

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What's the Least Common Multiple (LCM) of 72 and 96?

Answer

LCM of 72 and 96 is
288

First common multiples: 288, 576, 864, …

288 is divisible by both: 288 ÷ 72 = 4, 288 ÷ 96 = 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/72 by 4 and of y/96 by 3.

72 = 23 × 32

96 = 25 × 3

Prime7296Highest power
2232525
332332

LCM = 25 × 32 = 288

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LCM Table

Number 1Number 2LCM
7281648
72822,952
72835,976
7284504
72856,120
72863,096
72872,088
7288792
72896,408
7290360
72916,552
72921,656
72932,232
72943,384
72956,840
7296288
72976,984
72983,528
7299792
721001,800
721017,272
721021,224
721037,416
72104936
721052,520
721063,816
721077,704
72108216
721097,848
721103,960

FAQ

What's the Least Common Multiple (LCM) of 72 and 96?

LCM of 72 and 96 is 288

How to find the LCM of 72 and 96 using prime factorization?

To find the LCM of 72 and 96, 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 72 and 96: LCM = 288, GCF = 24.

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