LCM for 6 and 30
What's the Least Common Multiple (LCM) of 6 and 30?
(Thirty)
Finding LCM for 6 and 30 using GCF's of these numbers
The first method to find LCM for numbers 6 and 30 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 6 and 30 is 6, so
LCM = (6 × 30) ÷ 6
LCM = 180 ÷ 6
LCM = 30
Finding LCM for 6 and 30 by Listing Multiples
The second method to find LCM for numbers 6 and 30 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
Multiples of 30: 30, 60, 90, 120, 150, 180, 210, [...], 30
So the LCM for 6 and 30 is 30
Finding LCM for 6 and 30 by Prime Factorization
Another method to find LCM for numbers 6 and 30 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 30: 2, 3, 5 (exponent form: 21, 31, 51)
21 × 31 × 51 = 30
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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