LCM for 54 and 180

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 54 and 180?

Answer

LCM of 54 and 180 is 540

(Five hundred forty)

Finding LCM for 54 and 180 using GCF of these numbers

The first method to find LCM for numbers 54 and 180 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 54 and 180 is 18, so

LCM = (54 × 180) ÷ 18

LCM = 9720 ÷ 18

LCM = 540

Finding LCM for 54 and 180 by Listing Multiples

The second method to find LCM for numbers 54 and 180 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, 540, 594, 648

Multiples of 180: 180, 360, 540, 720, 900

So the LCM for 54 and 180 is 540

Finding LCM for 54 and 180 by Prime Factorization

Another method to find LCM for numbers 54 and 180 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 180: 2, 2, 3, 3, 5 (exponent form: 22, 32, 51)

22 × 33 × 51 = 540

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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 180? (The answer is: 540). Select the first number (e.g. '54') and the second number (e.g. '180'). 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
391802340
40180360
411807380
421801260
431807740
441801980
45180180
461804140
471808460
48180720
491808820
50180900
511803060
521802340
531809540
54180540
551801980
561802520
571803420
581805220
5918010620
60180180
6118010980
621805580
631801260
641802880
651802340
661801980
6718012060
681803060

FAQ

What's the Least Common Multiple (LCM) of 54 and 180?

LCM of 54 and 180 is 540

How to find the LCM of 54 and 180 using prime factorization?

To find the LCM of 54 and 180, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 540.

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 180: LCM = 540, GCF = 18.

See Also