LCM for 84 and 108

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What's the Least Common Multiple (LCM) of 84 and 108?

Answer

LCM of 84 and 108 is
756

(Seven hundred fifty-six)

Finding LCM for 84 and 108 using GCF of these numbers

The first method to find LCM for numbers 84 and 108 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 84 and 108 is 12, so

LCM = (84 × 108) ÷ 12

LCM = 9,072 ÷ 12

LCM = 756

Finding LCM for 84 and 108 by Listing Multiples

The second method to find LCM for numbers 84 and 108 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, 504, 588, 672, 756, 840, 924

Multiples of 108: 108, 216, 324, 432, 540, 648, 756, 864, 972

So the LCM for 84 and 108 is 756

Finding LCM for 84 and 108 by Prime Factorization

Another method to find LCM for numbers 84 and 108 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 108: 2, 2, 3, 3, 3 (exponent form: 22, 33)

22 × 33 × 71 = 756

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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 108? (The answer is: 756). Select the first number (e.g. '84') and the second number (e.g. '108'). 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
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LCM Table

Number 1Number 2LCM
84932,604
84943,948
84957,980
8496672
84978,148
8498588
84992,772
841002,100
841018,484
841021,428
841038,652
841042,184
84105420
841064,452
841078,988
84108756
841099,156
841104,620
841113,108
84112336
841139,492
841141,596
841159,660
841162,436
841173,276
841184,956
841191,428
84120840
8412110,164
841225,124

FAQ

What's the Least Common Multiple (LCM) of 84 and 108?

LCM of 84 and 108 is 756

How to find the LCM of 84 and 108 using prime factorization?

To find the LCM of 84 and 108, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 756.

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 108: LCM = 756, GCF = 12.

See Also