LCM for 54 and 180
What's the Least Common Multiple (LCM) of 54 and 180?
(Five hundred forty)
Finding LCM for 54 and 180 using GCF's 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 nubmers and pick the first which matching:
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
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/54--180">What is the LCM of 54 and 180? - Calculatio</a>
LCM Table
About "Least Common Multiple" Calculator
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