LCM for 6 and 40
What's the Least Common Multiple (LCM) of 6 and 40?
(One hundred twenty)
Finding LCM for 6 and 40 using GCF's of these numbers
The first method to find LCM for numbers 6 and 40 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 6 and 40 is 2, so
LCM = (6 × 40) ÷ 2
LCM = 240 ÷ 2
LCM = 120
Finding LCM for 6 and 40 by Listing Multiples
The second method to find LCM for numbers 6 and 40 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120, 126, 132
Multiples of 40: 40, 80, 120, 160, 200
So the LCM for 6 and 40 is 120
Finding LCM for 6 and 40 by Prime Factorization
Another method to find LCM for numbers 6 and 40 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 6: 2, 3 (exponent form: 21, 31)
All Prime Factors of 40: 2, 2, 2, 5 (exponent form: 23, 51)
23 × 31 × 51 = 120
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/6--40">What is the LCM of 6 and 40? - 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