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

Related Calculations

See Also

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
54354
544108
545270
54654
547378
548216
54954
5410270
5411594
5412108
5413702
5414378
5415270
5416432
5417918
541854
54191,026
5420540
5421378
5422594
54231,242
5424216
54251,350
5426702
542754
5428756
54291,566
5430270
54311,674
5432864

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