LCM for 64 and 96

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What's the Least Common Multiple (LCM) of 64 and 96?

Answer

LCM of 64 and 96 is
192

First common multiples: 192, 384, 576, …

192 is divisible by both: 192 ÷ 64 = 3, 192 ÷ 96 = 2 — and 3 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/64 by 3 and of y/96 by 2.

64 = 26

96 = 25 × 3

Prime6496Highest power
2262526
3—33

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

LCM = 26 × 3 = 192

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
64815,184
64822,624
64835,312
64841,344
64855,440
64862,752
64875,568
6488704
64895,696
64902,880
64915,824
64921,472
64935,952
64943,008
64956,080
6496192
64976,208
64983,136
64996,336
641001,600
641016,464
641023,264
641036,592
64104832
641056,720
641063,392
641076,848
641081,728
641096,976
641103,520

FAQ

What's the Least Common Multiple (LCM) of 64 and 96?

LCM of 64 and 96 is 192

How to find the LCM of 64 and 96 using prime factorization?

To find the LCM of 64 and 96, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 192.

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 64 and 96: LCM = 192, GCF = 32.

See Also