LCM for 54 and 180

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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 = 9,720 ÷ 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
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LCM Table

Number 1Number 2LCM
541652,970
541664,482
541679,018
541681,512
541699,126
541704,590
541711,026
541724,644
541739,342
541741,566
541759,450
541764,752
541773,186
541784,806
541799,666
54180540
541819,774
541824,914
541833,294
541844,968
541859,990
541861,674
5418710,098
541885,076
54189378
541905,130
5419110,314
541921,728
5419310,422
541945,238

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