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 = 6804 ÷ 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

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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 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
541111998
541123024
541136102
541141026
541156210
541163132
54117702
541183186
541196426
541201080
541216534
541223294
541232214
541243348
541256750
54126378
541276858
541283456
541292322
541303510
541317074
541321188
541337182
541343618
54135270
541363672
541377398
541381242
541397506
541403780

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