LCM for 108 and 96

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What's the Least Common Multiple (LCM) of 108 and 96?

Answer

LCM of 108 and 96 is
864

(Eight hundred sixty-four)

Finding LCM for 108 and 96 using GCF of these numbers

The first method to find LCM for numbers 108 and 96 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 108 and 96 is 12, so

LCM = (108 × 96) ÷ 12

LCM = 10,368 ÷ 12

LCM = 864

Finding LCM for 108 and 96 by Listing Multiples

The second method to find LCM for numbers 108 and 96 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 108: 108, 216, 324, 432, 540, 648, 756, 864, 972, 1,080

Multiples of 96: 96, 192, 288, 384, 480, 576, 672, 768, 864, 960, 1,056

So the LCM for 108 and 96 is 864

Finding LCM for 108 and 96 by Prime Factorization

Another method to find LCM for numbers 108 and 96 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 108: 2, 2, 3, 3, 3 (exponent form: 22, 33)

All Prime Factors of 96: 2, 2, 2, 2, 2, 3 (exponent form: 25, 31)

25 × 33 = 864

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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 108 and 96? (The answer is: 864). Select the first number (e.g. '108') and the second number (e.g. '96'). 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
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LCM Table

Number 1Number 2LCM
10881324
108824,428
108838,964
10884756
108859,180
108864,644
108873,132
108882,376
108899,612
10890540
108919,828
108922,484
108933,348
108945,076
1089510,260
10896864
1089710,476
108985,292
108991,188
1081002,700
10810110,908
1081021,836
10810311,124
1081042,808
1081053,780
1081065,724
10810711,556
108108108
10810911,772
1081105,940

FAQ

What's the Least Common Multiple (LCM) of 108 and 96?

LCM of 108 and 96 is 864

How to find the LCM of 108 and 96 using prime factorization?

To find the LCM of 108 and 96, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 864.

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 108 and 96: LCM = 864, GCF = 12.

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