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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?. Find the LCM of 54 and 36 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
3936468
4036360
41361476
4236252
43361548
4436396
4536180
4636828
47361692
4836144
49361764
5036900
5136612
5236468
53361908
5436108
55361980
5636504
5736684
58361044
59362124
6036180
61362196
62361116
6336252
6436576
65362340
6636396
67362412
6836612

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