LCM for 9 and 45
What's the Least Common Multiple (LCM) of 9 and 45?
(Forty-five)
Finding LCM for 9 and 45 using GCF's of these numbers
The first method to find LCM for numbers 9 and 45 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 9 and 45 is 9, so
LCM = (9 × 45) ÷ 9
LCM = 405 ÷ 9
LCM = 45
Finding LCM for 9 and 45 by Listing Multiples
The second method to find LCM for numbers 9 and 45 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
Multiples of 45: 45, 90, 135, 180, 225, 270, 315, [...], 45
So the LCM for 9 and 45 is 45
Finding LCM for 9 and 45 by Prime Factorization
Another method to find LCM for numbers 9 and 45 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 45: 3, 3, 5 (exponent form: 32, 51)
32 × 51 = 45
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