LCM for 56 and 72

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's 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 = 4032 ÷ 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 nubmers and pick the first which matching:

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

See Also

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

LCM Table

Number 1Number 2LCM
41722952
4272504
43723096
4472792
4572
46721656
47723384
4872
49723528
50721800
51721224
5272936
53723816
5472
55723960
5672
57721368
58722088
59724248
6072
61724392
62722232
6372
6472
65724680
6672792
67724824
68721224
69721656
70722520

FAQ

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

LCM of 56 and 72 is 504