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LCM for 54 and 36

"Least Common Multiple" Calculator

Least Common Multiple of

and

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 = 1944 ÷ 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

Related Calculations

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What is the LCM of 54 and 36?. The LCM of 54 and 36 is 108 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
5421378
5422594
54231242
5424216
54251350
5426702
542754
5428756
54291566
5430270
54311674
5432864
5433594
5434918
54351890
5436108
54371998
54381026
5439702
54401080
54412214
5442378
54432322
54441188
5445270
54461242
54472538
5448432
54492646
54501350

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

and

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