LCM for 8 and 48
What's the Least Common Multiple (LCM) of 8 and 48?
(Forty-eight)
Finding LCM for 8 and 48 using GCF's of these numbers
The first method to find LCM for numbers 8 and 48 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 8 and 48 is 8, so
LCM = (8 × 48) ÷ 8
LCM = 384 ÷ 8
LCM = 48
Finding LCM for 8 and 48 by Listing Multiples
The second method to find LCM for numbers 8 and 48 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
Multiples of 48: 48, 96, 144, 192, 240, 288, 336, 384, [...], 48
So the LCM for 8 and 48 is 48
Finding LCM for 8 and 48 by Prime Factorization
Another method to find LCM for numbers 8 and 48 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 48: 2, 2, 2, 2, 3 (exponent form: 24, 31)
24 × 31 = 48
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--48">What is the LCM of 8 and 48? - 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