LCM for 54 and 36
What's the Least Common Multiple (LCM) of 54 and 36?
(One hundred eight)
Finding LCM for 54 and 36 using GCF's of these numbers
The first method to find LCM for numbers 54 and 36 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 54 and 36 is 18, so
LCM = (54 × 36) ÷ 18
LCM = 1944 ÷ 18
LCM = 108
Finding LCM for 54 and 36 by Listing Multiples
The second method to find LCM for numbers 54 and 36 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 54: 54, 108, 162, 216
Multiples of 36: 36, 72, 108, 144, 180
So the LCM for 54 and 36 is 108
Finding LCM for 54 and 36 by Prime Factorization
Another method to find LCM for numbers 54 and 36 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 36: 2, 2, 3, 3 (exponent form: 22, 32)
22 × 33 = 108
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--36">What is the LCM of 54 and 36? - 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