LCM for 6 and 72
What's the Least Common Multiple (LCM) of 6 and 72?
(Seventy-two)
Finding LCM for 6 and 72 using GCF's of these numbers
The first method to find LCM for numbers 6 and 72 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 6 and 72 is 6, so
LCM = (6 × 72) ÷ 6
LCM = 432 ÷ 6
LCM = 72
Finding LCM for 6 and 72 by Listing Multiples
The second method to find LCM for numbers 6 and 72 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, 48, 54, 60, 66, 72, 78, 84
Multiples of 72: 72, 144, 216, 288, 360, 432, 504, 576, 648, 720, 792, 864, 936, 1008, [...], 72
So the LCM for 6 and 72 is 72
Finding LCM for 6 and 72 by Prime Factorization
Another method to find LCM for numbers 6 and 72 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 72: 2, 2, 2, 3, 3 (exponent form: 23, 32)
23 × 32 = 72
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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