LCM for 6 and 17
What's the Least Common Multiple (LCM) of 6 and 17?
(One hundred two)
Finding LCM for 6 and 17 using GCF's of these numbers
The first method to find LCM for numbers 6 and 17 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 6 and 17 is 1, so
LCM = (6 × 17) ÷ 1
LCM = 102 ÷ 1
LCM = 102
Finding LCM for 6 and 17 by Listing Multiples
The second method to find LCM for numbers 6 and 17 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, 90, 96, 102, 108, 114
Multiples of 17: 17, 34, 51, 68, 85, 102, 119, 136
So the LCM for 6 and 17 is 102
Finding LCM for 6 and 17 by Prime Factorization
Another method to find LCM for numbers 6 and 17 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 17: 17 (exponent form: 171)
21 × 31 × 171 = 102
Related Calculations
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