LCM for 39 and 9
What's the Least Common Multiple (LCM) of 39 and 9?
(One hundred seventeen)
Finding LCM for 39 and 9 using GCF's of these numbers
The first method to find LCM for numbers 39 and 9 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 39 and 9 is 3, so
LCM = (39 × 9) ÷ 3
LCM = 351 ÷ 3
LCM = 117
Finding LCM for 39 and 9 by Listing Multiples
The second method to find LCM for numbers 39 and 9 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 39: 39, 78, 117, 156, 195
Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135
So the LCM for 39 and 9 is 117
Finding LCM for 39 and 9 by Prime Factorization
Another method to find LCM for numbers 39 and 9 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 39: 3, 13 (exponent form: 31, 131)
All Prime Factors of 9: 3, 3 (exponent form: 32)
32 × 131 = 117
Related Calculations
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