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
391261638
401262520
411265166
42126126
431265418
441262772
45126630
461262898
471265922
481261008
49126882
501263150
511262142
521263276
531266678
54126378
551266930
56126504
571262394
581263654
591267434
601261260
611267686
621263906
63126126
641264032
651268190
661261386
671268442
681264284

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