LCM for 54 and 18

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 54 and 18?

Answer

LCM of 54 and 18 is 54

(Fifty-four)

Finding LCM for 54 and 18 using GCF of these numbers

The first method to find LCM for numbers 54 and 18 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 54 and 18 is 18, so

LCM = (54 × 18) ÷ 18

LCM = 972 ÷ 18

LCM = 54

Finding LCM for 54 and 18 by Listing Multiples

The second method to find LCM for numbers 54 and 18 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 54: 54, 108, 162

Multiples of 18: 18, 36, 54, 72, 90

So the LCM for 54 and 18 is 54

Finding LCM for 54 and 18 by Prime Factorization

Another method to find LCM for numbers 54 and 18 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 18: 2, 3, 3 (exponent form: 21, 32)

21 × 33 = 54

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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 18? (The answer is: 54). Select the first number (e.g. '54') and the second number (e.g. '18'). 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

LCM Table

Number 1Number 2LCM
3918234
4018360
4118738
4218126
4318774
4418396
451890
4618414
4718846
4818144
4918882
5018450
5118306
5218468
5318954
541854
5518990
5618504
5718342
5818522
59181062
6018180
61181098
6218558
6318126
6418576
65181170
6618198
67181206
6818612

FAQ

What's the Least Common Multiple (LCM) of 54 and 18?

LCM of 54 and 18 is 54

How to find the LCM of 54 and 18 using prime factorization?

To find the LCM of 54 and 18, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 54.

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 18: LCM = 54, GCF = 18.

See Also