LCM for 9 and 75
What's the Least Common Multiple (LCM) of 9 and 75?
(Two hundred twenty-five)
Finding LCM for 9 and 75 using GCF's of these numbers
The first method to find LCM for numbers 9 and 75 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 9 and 75 is 3, so
LCM = (9 × 75) ÷ 3
LCM = 675 ÷ 3
LCM = 225
Finding LCM for 9 and 75 by Listing Multiples
The second method to find LCM for numbers 9 and 75 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180, 189, 198, 207, 216, 225, 234, 243
Multiples of 75: 75, 150, 225, 300, 375
So the LCM for 9 and 75 is 225
Finding LCM for 9 and 75 by Prime Factorization
Another method to find LCM for numbers 9 and 75 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 9: 3, 3 (exponent form: 32)
All Prime Factors of 75: 3, 5, 5 (exponent form: 31, 52)
32 × 52 = 225
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/9--75">What is the LCM of 9 and 75? - 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