LCM for 75 and 120
What's the Least Common Multiple (LCM) of 75 and 120?
(Six hundred)
Finding LCM for 75 and 120 using GCF's of these numbers
The first method to find LCM for numbers 75 and 120 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 75 and 120 is 15, so
LCM = (75 × 120) ÷ 15
LCM = 9000 ÷ 15
LCM = 600
Finding LCM for 75 and 120 by Listing Multiples
The second method to find LCM for numbers 75 and 120 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 75: 75, 150, 225, 300, 375, 450, 525, 600, 675, 750
Multiples of 120: 120, 240, 360, 480, 600, 720, 840
So the LCM for 75 and 120 is 600
Finding LCM for 75 and 120 by Prime Factorization
Another method to find LCM for numbers 75 and 120 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 75: 3, 5, 5 (exponent form: 31, 52)
All Prime Factors of 120: 2, 2, 2, 3, 5 (exponent form: 23, 31, 51)
31 × 52 × 23 = 600
Related Calculations
![What is the LCM of 75 and 120?. Find the LCM of 120 and 75 - the smallest common multiple of two integers.](https://calculat.io/en/number/least-common-multiple-lcm-of/75--120/generated.jpg)
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