LCM for 72 and 63

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

Answer

LCM of 72 and 63 is
504

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

504 is divisible by both: 504 ÷ 72 = 7, 504 ÷ 63 = 8 — and 7 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 7 and of y/63 by 8.

72 = 23 × 32

63 = 32 × 7

Prime7263Highest power
223—23
3323232
7—77

— = 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

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
7248144
72493,528
72501,800
72511,224
7252936
72533,816
7254216
72553,960
7256504
72571,368
72582,088
72594,248
7260360
72614,392
72622,232
7263504
7264576
72654,680
7266792
72674,824
72681,224
72691,656
72702,520
72715,112
727272
72735,256
72742,664
72751,800
72761,368
72775,544

FAQ

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

LCM of 72 and 63 is 504

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

To find the LCM of 72 and 63, 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 72 and 63: LCM = 504, GCF = 9.

See Also