LCM for 12 and 17
What's the Least Common Multiple (LCM) of 12 and 17?
(Two hundred four)
Finding LCM for 12 and 17 using GCF's of these numbers
The first method to find LCM for numbers 12 and 17 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 12 and 17 is 1, so
LCM = (12 × 17) ÷ 1
LCM = 204 ÷ 1
LCM = 204
Finding LCM for 12 and 17 by Listing Multiples
The second method to find LCM for numbers 12 and 17 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192, 204, 216, 228
Multiples of 17: 17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204, 221, 238
So the LCM for 12 and 17 is 204
Finding LCM for 12 and 17 by Prime Factorization
Another method to find LCM for numbers 12 and 17 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 12: 2, 2, 3 (exponent form: 22, 31)
All Prime Factors of 17: 17 (exponent form: 171)
22 × 31 × 171 = 204
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/12--17">What is the LCM of 12 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