LCM for 72 and 99

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What's the Least Common Multiple (LCM) of 72 and 99?

Answer

LCM of 72 and 99 is
792

First common multiples: 792; 1,584; 2,376; …

792 is divisible by both: 792 ÷ 72 = 11, 792 ÷ 99 = 8 — and 11 and 8 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/72 by 11 and of y/99 by 8.

72 = 23 × 32

99 = 32 × 11

Prime7299Highest power
223—23
3323232
11—1111

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

LCM = 23 × 32 × 11 = 792

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LCM Table

Number 1Number 2LCM
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
721112,664
721121,008
721138,136

FAQ

What's the Least Common Multiple (LCM) of 72 and 99?

LCM of 72 and 99 is 792

How to find the LCM of 72 and 99 using prime factorization?

To find the LCM of 72 and 99, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 792.

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 99: LCM = 792, GCF = 9.

See Also