LCM for 8 and 32
What's the Least Common Multiple (LCM) of 8 and 32?
(Thirty-two)
Finding LCM for 8 and 32 using GCF's of these numbers
The first method to find LCM for numbers 8 and 32 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 8 and 32 is 8, so
LCM = (8 × 32) ÷ 8
LCM = 256 ÷ 8
LCM = 32
Finding LCM for 8 and 32 by Listing Multiples
The second method to find LCM for numbers 8 and 32 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
Multiples of 32: 32, 64, 96, 128, 160, 192, [...], 32
So the LCM for 8 and 32 is 32
Finding LCM for 8 and 32 by Prime Factorization
Another method to find LCM for numbers 8 and 32 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 32: 2, 2, 2, 2, 2 (exponent form: 25)
25 = 32
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--32">What is the LCM of 8 and 32? - 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