LCM for 84 and 126
What's the Least Common Multiple (LCM) of 84 and 126?
(Two hundred fifty-two)
Finding LCM for 84 and 126 using GCF's of these numbers
The first method to find LCM for numbers 84 and 126 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 84 and 126 is 42, so
LCM = (84 × 126) ÷ 42
LCM = 10584 ÷ 42
LCM = 252
Finding LCM for 84 and 126 by Listing Multiples
The second method to find LCM for numbers 84 and 126 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 84: 84, 168, 252, 336, 420
Multiples of 126: 126, 252, 378, 504
So the LCM for 84 and 126 is 252
Finding LCM for 84 and 126 by Prime Factorization
Another method to find LCM for numbers 84 and 126 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 84: 2, 2, 3, 7 (exponent form: 22, 31, 71)
All Prime Factors of 126: 2, 3, 3, 7 (exponent form: 21, 32, 71)
22 × 32 × 71 = 252
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/84--126">What is the LCM of 84 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