LCM for 2 and 12
What's the Least Common Multiple (LCM) of 2 and 12?
(Twelve)
Finding LCM for 2 and 12 using GCF's of these numbers
The first method to find LCM for numbers 2 and 12 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 2 and 12 is 2, so
LCM = (2 × 12) ÷ 2
LCM = 24 ÷ 2
LCM = 12
Finding LCM for 2 and 12 by Listing Multiples
The second method to find LCM for numbers 2 and 12 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16
Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, [...], 12
So the LCM for 2 and 12 is 12
Finding LCM for 2 and 12 by Prime Factorization
Another method to find LCM for numbers 2 and 12 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 2: 2 (exponent form: 21)
All Prime Factors of 12: 2, 2, 3 (exponent form: 22, 31)
22 × 31 = 12
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/2--12">What is the LCM of 2 and 12? - 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