LCM for 3 and 17
What's the Least Common Multiple (LCM) of 3 and 17?
(Fifty-one)
Finding LCM for 3 and 17 using GCF's of these numbers
The first method to find LCM for numbers 3 and 17 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 3 and 17 is 1, so
LCM = (3 × 17) ÷ 1
LCM = 51 ÷ 1
LCM = 51
Finding LCM for 3 and 17 by Listing Multiples
The second method to find LCM for numbers 3 and 17 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57
Multiples of 17: 17, 34, 51, 68, 85
So the LCM for 3 and 17 is 51
Finding LCM for 3 and 17 by Prime Factorization
Another method to find LCM for numbers 3 and 17 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 3: 3 (exponent form: 31)
All Prime Factors of 17: 17 (exponent form: 171)
31 × 171 = 51
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/3--17">What is the LCM of 3 and 17? - 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