LCM for 54 and 126

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 54 and 126?

Answer

LCM of 54 and 126 is
378

(Three hundred seventy-eight)

Finding LCM for 54 and 126 using GCF of these numbers

The first method to find LCM for numbers 54 and 126 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 54 and 126 is 18, so

LCM = (54 × 126) ÷ 18

LCM = 6,804 ÷ 18

LCM = 378

Finding LCM for 54 and 126 by Listing Multiples

The second method to find LCM for numbers 54 and 126 is to list out the common multiples for both numbers and pick the first one that matches:

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

Multiples of 126: 126, 252, 378, 504, 630

So the LCM for 54 and 126 is 378

Finding LCM for 54 and 126 by Prime Factorization

Another method to find LCM for numbers 54 and 126 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 126: 2, 3, 3, 7 (exponent form: 21, 32, 71)

21 × 33 × 71 = 378

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 126? (The answer is: 378). Select the first number (e.g. '54') and the second number (e.g. '126'). 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
541111,998
541123,024
541136,102
541141,026
541156,210
541163,132
54117702
541183,186
541196,426
541201,080
541216,534
541223,294
541232,214
541243,348
541256,750
54126378
541276,858
541283,456
541292,322
541303,510
541317,074
541321,188
541337,182
541343,618
54135270
541363,672
541377,398
541381,242
541397,506
541403,780

FAQ

What's the Least Common Multiple (LCM) of 54 and 126?

LCM of 54 and 126 is 378

How to find the LCM of 54 and 126 using prime factorization?

To find the LCM of 54 and 126, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 378.

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 126: LCM = 378, GCF = 18.

See Also