LCM for 8 and 25
What's the Least Common Multiple (LCM) of 8 and 25?
(Two hundred)
Finding LCM for 8 and 25 using GCF's of these numbers
The first method to find LCM for numbers 8 and 25 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 8 and 25 is 1, so
LCM = (8 × 25) ÷ 1
LCM = 200 ÷ 1
LCM = 200
Finding LCM for 8 and 25 by Listing Multiples
The second method to find LCM for numbers 8 and 25 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, 144, 152, 160, 168, 176, 184, 192, 200, 208, 216
Multiples of 25: 25, 50, 75, 100, 125, 150, 175, 200, 225, 250
So the LCM for 8 and 25 is 200
Finding LCM for 8 and 25 by Prime Factorization
Another method to find LCM for numbers 8 and 25 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 25: 5, 5 (exponent form: 52)
23 × 52 = 200
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--25">What is the LCM of 8 and 25? - 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