LCM for 90 and 126
What's the Least Common Multiple (LCM) of 90 and 126?
(Six hundred thirty)
Finding LCM for 90 and 126 using GCF's of these numbers
The first method to find LCM for numbers 90 and 126 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 90 and 126 is 18, so
LCM = (90 × 126) ÷ 18
LCM = 11340 ÷ 18
LCM = 630
Finding LCM for 90 and 126 by Listing Multiples
The second method to find LCM for numbers 90 and 126 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 90: 90, 180, 270, 360, 450, 540, 630, 720, 810
Multiples of 126: 126, 252, 378, 504, 630, 756, 882
So the LCM for 90 and 126 is 630
Finding LCM for 90 and 126 by Prime Factorization
Another method to find LCM for numbers 90 and 126 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 90: 2, 3, 3, 5 (exponent form: 21, 32, 51)
All Prime Factors of 126: 2, 3, 3, 7 (exponent form: 21, 32, 71)
21 × 32 × 51 × 71 = 630
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/90--126">What is the LCM of 90 and 126? - 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