LCM for 9 and 36
What's the Least Common Multiple (LCM) of 9 and 36?
(Thirty-six)
Finding LCM for 9 and 36 using GCF's of these numbers
The first method to find LCM for numbers 9 and 36 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 9 and 36 is 9, so
LCM = (9 × 36) ÷ 9
LCM = 324 ÷ 9
LCM = 36
Finding LCM for 9 and 36 by Listing Multiples
The second method to find LCM for numbers 9 and 36 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 9: 9, 18, 27, 36, 45, 54
Multiples of 36: 36, 72, 108, 144, 180, 216, [...], 36
So the LCM for 9 and 36 is 36
Finding LCM for 9 and 36 by Prime Factorization
Another method to find LCM for numbers 9 and 36 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 9: 3, 3 (exponent form: 32)
All Prime Factors of 36: 2, 2, 3, 3 (exponent form: 22, 32)
32 × 22 = 36
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/9--36">What is the LCM of 9 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