LCM for 30 and 75
What's the Least Common Multiple (LCM) of 30 and 75?
(One hundred fifty)
Finding LCM for 30 and 75 using GCF's of these numbers
The first method to find LCM for numbers 30 and 75 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 30 and 75 is 15, so
LCM = (30 × 75) ÷ 15
LCM = 2250 ÷ 15
LCM = 150
Finding LCM for 30 and 75 by Listing Multiples
The second method to find LCM for numbers 30 and 75 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 30: 30, 60, 90, 120, 150, 180, 210
Multiples of 75: 75, 150, 225, 300
So the LCM for 30 and 75 is 150
Finding LCM for 30 and 75 by Prime Factorization
Another method to find LCM for numbers 30 and 75 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 30: 2, 3, 5 (exponent form: 21, 31, 51)
All Prime Factors of 75: 3, 5, 5 (exponent form: 31, 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/30--75">What is the LCM of 30 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