LCM for 64 and 144

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What's the Least Common Multiple (LCM) of 64 and 144?

Answer

LCM of 64 and 144 is
576

First common multiples: 576; 1,152; 1,728; …

576 is divisible by both: 576 ÷ 64 = 9, 576 ÷ 144 = 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/64 by 9 and of y/144 by 4.

64 = 26

144 = 24 × 32

Prime64144Highest power
2262426
3—3232

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

LCM = 26 × 32 = 576

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
641298,256
641304,160
641318,384
641322,112
641338,512
641344,288
641358,640
641361,088
641378,768
641384,416
641398,896
641402,240
641419,024
641424,544
641439,152
64144576
641459,280
641464,672
641479,408
641482,368
641499,536
641504,800
641519,664
641521,216
641539,792
641544,928
641559,920
641562,496
6415710,048
641585,056

FAQ

What's the Least Common Multiple (LCM) of 64 and 144?

LCM of 64 and 144 is 576

How to find the LCM of 64 and 144 using prime factorization?

To find the LCM of 64 and 144, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 576.

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 144: LCM = 576, GCF = 16.

See Also