LCM for 56 and 72

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What's the Least Common Multiple (LCM) of 56 and 72?

Answer

LCM of 56 and 72 is
504

(Five hundred four)

Finding LCM for 56 and 72 using GCF of these numbers

The first method to find LCM for numbers 56 and 72 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 56 and 72 is 8, so

LCM = (56 × 72) ÷ 8

LCM = 4,032 ÷ 8

LCM = 504

Finding LCM for 56 and 72 by Listing Multiples

The second method to find LCM for numbers 56 and 72 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 56: 56, 112, 168, 224, 280, 336, 392, 448, 504, 560, 616

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

So the LCM for 56 and 72 is 504

Finding LCM for 56 and 72 by Prime Factorization

Another method to find LCM for numbers 56 and 72 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 56: 2, 2, 2, 7 (exponent form: 23, 71)

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

23 × 71 × 32 = 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 56 and 72? (The answer is: 504). Select the first number (e.g. '56') and the second number (e.g. '72'). 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
56573,192
56581,624
56593,304
5660840
56613,416
56621,736
5663504
5664448
56653,640
56661,848
56673,752
5668952
56693,864
5670280
56713,976
5672504
56734,088
56742,072
56754,200
56761,064
5677616
56782,184
56794,424
5680560
56814,536
56822,296
56834,648
5684168
56854,760
56862,408

FAQ

What's the Least Common Multiple (LCM) of 56 and 72?

LCM of 56 and 72 is 504

How to find the LCM of 56 and 72 using prime factorization?

To find the LCM of 56 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 56 and 72: LCM = 504, GCF = 8.

See Also