LCM for 8 and 17
What's the Least Common Multiple (LCM) of 8 and 17?
(One hundred thirty-six)
Finding LCM for 8 and 17 using GCF's of these numbers
The first method to find LCM for numbers 8 and 17 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 8 and 17 is 1, so
LCM = (8 × 17) ÷ 1
LCM = 136 ÷ 1
LCM = 136
Finding LCM for 8 and 17 by Listing Multiples
The second method to find LCM for numbers 8 and 17 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152
Multiples of 17: 17, 34, 51, 68, 85, 102, 119, 136, 153, 170
So the LCM for 8 and 17 is 136
Finding LCM for 8 and 17 by Prime Factorization
Another method to find LCM for numbers 8 and 17 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 8: 2, 2, 2 (exponent form: 23)
All Prime Factors of 17: 17 (exponent form: 171)
23 × 171 = 136
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