LCM for 45 and 105
What's the Least Common Multiple (LCM) of 45 and 105?
(Three hundred fifteen)
Finding LCM for 45 and 105 using GCF's of these numbers
The first method to find LCM for numbers 45 and 105 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 45 and 105 is 15, so
LCM = (45 × 105) ÷ 15
LCM = 4725 ÷ 15
LCM = 315
Finding LCM for 45 and 105 by Listing Multiples
The second method to find LCM for numbers 45 and 105 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 45: 45, 90, 135, 180, 225, 270, 315, 360, 405
Multiples of 105: 105, 210, 315, 420, 525
So the LCM for 45 and 105 is 315
Finding LCM for 45 and 105 by Prime Factorization
Another method to find LCM for numbers 45 and 105 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 45: 3, 3, 5 (exponent form: 32, 51)
All Prime Factors of 105: 3, 5, 7 (exponent form: 31, 51, 71)
32 × 51 × 71 = 315
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/45--105">What is the LCM of 45 and 105? - 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