LCM for 8 and 15
What's the Least Common Multiple (LCM) of 8 and 15?
(One hundred twenty)
Finding LCM for 8 and 15 using GCF's of these numbers
The first method to find LCM for numbers 8 and 15 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 8 and 15 is 1, so
LCM = (8 × 15) ÷ 1
LCM = 120 ÷ 1
LCM = 120
Finding LCM for 8 and 15 by Listing Multiples
The second method to find LCM for numbers 8 and 15 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136
Multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150
So the LCM for 8 and 15 is 120
Finding LCM for 8 and 15 by Prime Factorization
Another method to find LCM for numbers 8 and 15 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 8: 2, 2, 2 (exponent form: 23)
All Prime Factors of 15: 3, 5 (exponent form: 31, 51)
23 × 31 × 51 = 120
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/8--15">What is the LCM of 8 and 15? - 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