LCM for 9 and 13
What's the Least Common Multiple (LCM) of 9 and 13?
(One hundred seventeen)
Finding LCM for 9 and 13 using GCF's of these numbers
The first method to find LCM for numbers 9 and 13 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 9 and 13 is 1, so
LCM = (9 × 13) ÷ 1
LCM = 117 ÷ 1
LCM = 117
Finding LCM for 9 and 13 by Listing Multiples
The second method to find LCM for numbers 9 and 13 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, 63, 72, 81, 90, 99, 108, 117, 126, 135
Multiples of 13: 13, 26, 39, 52, 65, 78, 91, 104, 117, 130, 143
So the LCM for 9 and 13 is 117
Finding LCM for 9 and 13 by Prime Factorization
Another method to find LCM for numbers 9 and 13 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 13: 13 (exponent form: 131)
32 × 131 = 117
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--13">What is the LCM of 9 and 13? - 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