LCM for 8 and 34
What's the Least Common Multiple (LCM) of 8 and 34?
(One hundred thirty-six)
Finding LCM for 8 and 34 using GCF's of these numbers
The first method to find LCM for numbers 8 and 34 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 8 and 34 is 2, so
LCM = (8 × 34) ÷ 2
LCM = 272 ÷ 2
LCM = 136
Finding LCM for 8 and 34 by Listing Multiples
The second method to find LCM for numbers 8 and 34 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 34: 34, 68, 102, 136, 170, 204
So the LCM for 8 and 34 is 136
Finding LCM for 8 and 34 by Prime Factorization
Another method to find LCM for numbers 8 and 34 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 34: 2, 17 (exponent form: 21, 171)
23 × 171 = 136
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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