LCM for 34 and 51
What's the Least Common Multiple (LCM) of 34 and 51?
(One hundred two)
Finding LCM for 34 and 51 using GCF's of these numbers
The first method to find LCM for numbers 34 and 51 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 34 and 51 is 17, so
LCM = (34 × 51) ÷ 17
LCM = 1734 ÷ 17
LCM = 102
Finding LCM for 34 and 51 by Listing Multiples
The second method to find LCM for numbers 34 and 51 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 34: 34, 68, 102, 136, 170
Multiples of 51: 51, 102, 153, 204
So the LCM for 34 and 51 is 102
Finding LCM for 34 and 51 by Prime Factorization
Another method to find LCM for numbers 34 and 51 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 34: 2, 17 (exponent form: 21, 171)
All Prime Factors of 51: 3, 17 (exponent form: 31, 171)
21 × 171 × 31 = 102
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/34--51">What is the LCM of 34 and 51? - Calculatio</a>
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