LCM for 54 and 72

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What's the Least Common Multiple (LCM) of 54 and 72?

Answer

LCM of 54 and 72 is
216

(Two hundred sixteen)

Finding LCM for 54 and 72 using GCF of these numbers

The first method to find LCM for numbers 54 and 72 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 54 and 72 is 18, so

LCM = (54 × 72) ÷ 18

LCM = 3,888 ÷ 18

LCM = 216

Finding LCM for 54 and 72 by Listing Multiples

The second method to find LCM for numbers 54 and 72 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 54: 54, 108, 162, 216, 270, 324

Multiples of 72: 72, 144, 216, 288, 360

So the LCM for 54 and 72 is 216

Finding LCM for 54 and 72 by Prime Factorization

Another method to find LCM for numbers 54 and 72 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 54: 2, 3, 3, 3 (exponent form: 21, 33)

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

23 × 33 = 216

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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 54 and 72? (The answer is: 216). Select the first number (e.g. '54') 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
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LCM Table

Number 1Number 2LCM
54571,026
54581,566
54593,186
5460540
54613,294
54621,674
5463378
54641,728
54653,510
5466594
54673,618
54681,836
54691,242
54701,890
54713,834
5472216
54733,942
54741,998
54751,350
54762,052
54774,158
5478702
54794,266
54802,160
5481162
54822,214
54834,482
5484756
54854,590
54862,322

FAQ

What's the Least Common Multiple (LCM) of 54 and 72?

LCM of 54 and 72 is 216

How to find the LCM of 54 and 72 using prime factorization?

To find the LCM of 54 and 72, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 216.

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 54 and 72: LCM = 216, GCF = 18.

See Also