LCM for 54 and 36

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Least Common Multiple of
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What's the Least Common Multiple (LCM) of 54 and 36?

Answer

LCM of 54 and 36 is
108

(One hundred eight)

Finding LCM for 54 and 36 using GCF of these numbers

The first method to find LCM for numbers 54 and 36 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 54 and 36 is 18, so

LCM = (54 × 36) ÷ 18

LCM = 1,944 ÷ 18

LCM = 108

Finding LCM for 54 and 36 by Listing Multiples

The second method to find LCM for numbers 54 and 36 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 54: 54, 108, 162, 216

Multiples of 36: 36, 72, 108, 144, 180

So the LCM for 54 and 36 is 108

Finding LCM for 54 and 36 by Prime Factorization

Another method to find LCM for numbers 54 and 36 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 36: 2, 2, 3, 3 (exponent form: 22, 32)

22 × 33 = 108

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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 36? (The answer is: 108). Select the first number (e.g. '54') and the second number (e.g. '36'). 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
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LCM Table

Number 1Number 2LCM
5421378
5422594
54231,242
5424216
54251,350
5426702
542754
5428756
54291,566
5430270
54311,674
5432864
5433594
5434918
54351,890
5436108
54371,998
54381,026
5439702
54401,080
54412,214
5442378
54432,322
54441,188
5445270
54461,242
54472,538
5448432
54492,646
54501,350

FAQ

What's the Least Common Multiple (LCM) of 54 and 36?

LCM of 54 and 36 is 108

How to find the LCM of 54 and 36 using prime factorization?

To find the LCM of 54 and 36, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 108.

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 36: LCM = 108, GCF = 18.

See Also