LCM for 54 and 189

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 54 and 189?

Answer: LCM of 54 and 189 is 378

(Three hundred seventy-eight)

Finding LCM for 54 and 189 using GCF's of these numbers

The first method to find LCM for numbers 54 and 189 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 54 and 189 is 27, so

LCM = (54 × 189) ÷ 27

LCM = 10206 ÷ 27

LCM = 378

Finding LCM for 54 and 189 by Listing Multiples

The second method to find LCM for numbers 54 and 189 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 54: 54, 108, 162, 216, 270, 324, 378, 432, 486

Multiples of 189: 189, 378, 567, 756

So the LCM for 54 and 189 is 378

Finding LCM for 54 and 189 by Prime Factorization

Another method to find LCM for numbers 54 and 189 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 189: 3, 3, 3, 7 (exponent form: 33, 71)

21 × 33 × 71 = 378

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 189? (The answer is: 378). Select the first number (e.g. '54') and the second number (e.g. '189'). 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
391892457
401897560
411897749
42189378
431898127
441898316
45189945
461898694
471898883
481893024
491891323
501899450
511893213
521899828
5318910017
54189378
5518910395
561891512
571893591
5818910962
5918911151
601893780
6118911529
6218911718
63189189
6418912096
6518912285
661894158
6718912663
6818912852

FAQ

What's the Least Common Multiple (LCM) of 54 and 189?

LCM of 54 and 189 is 378

See Also