LCM for 4 and 30
What's the Least Common Multiple (LCM) of 4 and 30?
(Sixty)
Finding LCM for 4 and 30 using GCF's of these numbers
The first method to find LCM for numbers 4 and 30 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 4 and 30 is 2, so
LCM = (4 × 30) ÷ 2
LCM = 120 ÷ 2
LCM = 60
Finding LCM for 4 and 30 by Listing Multiples
The second method to find LCM for numbers 4 and 30 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68
Multiples of 30: 30, 60, 90, 120
So the LCM for 4 and 30 is 60
Finding LCM for 4 and 30 by Prime Factorization
Another method to find LCM for numbers 4 and 30 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 4: 2, 2 (exponent form: 22)
All Prime Factors of 30: 2, 3, 5 (exponent form: 21, 31, 51)
22 × 31 × 51 = 60
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/4--30">What is the LCM of 4 and 30? - 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