LCM for 72 and 63

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

Answer

LCM of 72 and 63 is
504

(Five hundred four)

Finding LCM for 72 and 63 using GCF of these numbers

The first method to find LCM for numbers 72 and 63 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 72 and 63 is 9, so

LCM = (72 × 63) ÷ 9

LCM = 4,536 ÷ 9

LCM = 504

Finding LCM for 72 and 63 by Listing Multiples

The second method to find LCM for numbers 72 and 63 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 72: 72, 144, 216, 288, 360, 432, 504, 576, 648

Multiples of 63: 63, 126, 189, 252, 315, 378, 441, 504, 567, 630

So the LCM for 72 and 63 is 504

Finding LCM for 72 and 63 by Prime Factorization

Another method to find LCM for numbers 72 and 63 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 72: 2, 2, 2, 3, 3 (exponent form: 23, 32)

All Prime Factors of 63: 3, 3, 7 (exponent form: 32, 71)

23 × 32 × 71 = 504

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About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 72 and 63? (The answer is: 504). Select the first number (e.g. '72') and the second number (e.g. '63'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers
"Least Common Multiple" Calculator
Least Common Multiple of
and

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