LCM for 63 and 72

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What's the Least Common Multiple (LCM) of 63 and 72?

Answer

LCM of 63 and 72 is
504

First common multiples: 504; 1,008; 1,512; …

504 is divisible by both: 504 ÷ 63 = 8, 504 ÷ 72 = 7 — and 8 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/63 by 8 and of y/72 by 7.

63 = 32 × 7

72 = 23 × 32

Prime6372Highest power
2—2323
3323232
77—7

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

LCM = 23 × 32 × 7 = 504

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LCM Table

Number 1Number 2LCM
63571,197
63583,654
63593,717
63601,260
63613,843
63623,906
636363
63644,032
63654,095
63661,386
63674,221
63684,284
63691,449
6370630
63714,473
6372504
63734,599
63744,662
63751,575
63764,788
6377693
63781,638
63794,977
63805,040
6381567
63825,166
63835,229
6384252
63855,355
63865,418

FAQ

What's the Least Common Multiple (LCM) of 63 and 72?

LCM of 63 and 72 is 504

How to find the LCM of 63 and 72 using prime factorization?

To find the LCM of 63 and 72, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 504.

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 63 and 72: LCM = 504, GCF = 9.

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