LCM for 5 and 45
What's the Least Common Multiple (LCM) of 5 and 45?
(Forty-five)
Finding LCM for 5 and 45 using GCF's of these numbers
The first method to find LCM for numbers 5 and 45 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 5 and 45 is 5, so
LCM = (5 × 45) ÷ 5
LCM = 225 ÷ 5
LCM = 45
Finding LCM for 5 and 45 by Listing Multiples
The second method to find LCM for numbers 5 and 45 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55
Multiples of 45: 45, 90, 135, 180, 225, 270, 315, 360, 405, 450, 495, [...], 45
So the LCM for 5 and 45 is 45
Finding LCM for 5 and 45 by Prime Factorization
Another method to find LCM for numbers 5 and 45 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 5: 5 (exponent form: 51)
All Prime Factors of 45: 3, 3, 5 (exponent form: 32, 51)
51 × 32 = 45
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/5--45">What is the LCM of 5 and 45? - 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