LCM for 64 and 88

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What's the Least Common Multiple (LCM) of 64 and 88?

Answer

LCM of 64 and 88 is
704

First common multiples: 704; 1,408; 2,112; …

704 is divisible by both: 704 ÷ 64 = 11, 704 ÷ 88 = 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/64 by 11 and of y/88 by 8.

64 = 26

88 = 23 × 11

Prime6488Highest power
2262326
11—1111

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

LCM = 26 × 11 = 704

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LCM Table

Number 1Number 2LCM
64734,672
64742,368
64754,800
64761,216
64774,928
64782,496
64795,056
6480320
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

FAQ

What's the Least Common Multiple (LCM) of 64 and 88?

LCM of 64 and 88 is 704

How to find the LCM of 64 and 88 using prime factorization?

To find the LCM of 64 and 88, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 704.

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 88: LCM = 704, GCF = 8.

See Also