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LCM for 84 and 126

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 84 and 126?

Answer

LCM of 84 and 126 is 252

(Two hundred fifty-two)

Finding LCM for 84 and 126 using GCF 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 numbers and pick the first one that matches:

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

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What is the LCM of 84 and 126?. The LCM of 84 and 126 is 252 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
841113108
84112336
841139492
841141596
841159660
841162436
841173276
841184956
841191428
84120840
8412110164
841225124
841233444
841242604
8412510500
84126252
8412710668
841282688
841293612
841305460
8413111004
84132924
841331596
841345628
841353780
841362856
8413711508
841381932
8413911676
84140420

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 84 and 126? (The answer is: 252). Select the first number (e.g. '84') and the second number (e.g. '126'). After that hit the 'Calculate' button.
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

"Least Common Multiple" Calculator

Least Common Multiple of

and

FAQ

What's the Least Common Multiple (LCM) of 84 and 126?

LCM of 84 and 126 is 252

How to find the LCM of 84 and 126 using prime factorization?

To find the LCM of 84 and 126, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 252.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 84 and 126: LCM = 252, GCF = 42.

See Also