LCM for 7 and 12
What's the Least Common Multiple (LCM) of 7 and 12?
(Eighty-four)
Finding LCM for 7 and 12 using GCF's of these numbers
The first method to find LCM for numbers 7 and 12 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 7 and 12 is 1, so
LCM = (7 × 12) ÷ 1
LCM = 84 ÷ 1
LCM = 84
Finding LCM for 7 and 12 by Listing Multiples
The second method to find LCM for numbers 7 and 12 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98
Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108
So the LCM for 7 and 12 is 84
Finding LCM for 7 and 12 by Prime Factorization
Another method to find LCM for numbers 7 and 12 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 7: 7 (exponent form: 71)
All Prime Factors of 12: 2, 2, 3 (exponent form: 22, 31)
71 × 22 × 31 = 84
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/7--12">What is the LCM of 7 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