LCM for 6 and 25
What's the Least Common Multiple (LCM) of 6 and 25?
(One hundred fifty)
Finding LCM for 6 and 25 using GCF's of these numbers
The first method to find LCM for numbers 6 and 25 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 6 and 25 is 1, so
LCM = (6 × 25) ÷ 1
LCM = 150 ÷ 1
LCM = 150
Finding LCM for 6 and 25 by Listing Multiples
The second method to find LCM for numbers 6 and 25 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120, 126, 132, 138, 144, 150, 156, 162
Multiples of 25: 25, 50, 75, 100, 125, 150, 175, 200
So the LCM for 6 and 25 is 150
Finding LCM for 6 and 25 by Prime Factorization
Another method to find LCM for numbers 6 and 25 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 6: 2, 3 (exponent form: 21, 31)
All Prime Factors of 25: 5, 5 (exponent form: 52)
21 × 31 × 52 = 150
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/6--25">What is the LCM of 6 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