LCM for 72 and 108
What's the Least Common Multiple (LCM) of 72 and 108?
(Two hundred sixteen)
Finding LCM for 72 and 108 using GCF's of these numbers
The first method to find LCM for numbers 72 and 108 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 72 and 108 is 36, so
LCM = (72 × 108) ÷ 36
LCM = 7776 ÷ 36
LCM = 216
Finding LCM for 72 and 108 by Listing Multiples
The second method to find LCM for numbers 72 and 108 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 72: 72, 144, 216, 288, 360
Multiples of 108: 108, 216, 324, 432
So the LCM for 72 and 108 is 216
Finding LCM for 72 and 108 by Prime Factorization
Another method to find LCM for numbers 72 and 108 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 72: 2, 2, 2, 3, 3 (exponent form: 23, 32)
All Prime Factors of 108: 2, 2, 3, 3, 3 (exponent form: 22, 33)
23 × 33 = 216
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/72--108">What is the LCM of 72 and 108? - 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