LCM for 108 and 96

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Least Common Multiple of

and

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 = 10368 ÷ 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, 1080

Multiples of 96: 96, 192, 288, 384, 480, 576, 672, 768, 864, 960, 1056

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

"Least Common Multiple" Calculator

Least Common Multiple of

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LCM Table

Number 1 Number 2 LCM
93 96 2976
94 96 4512
95 96 9120
96 96 96
97 96 9312
98 96 4704
99 96 3168
100 96 2400
101 96 9696
102 96 1632
103 96 9888
104 96 1248
105 96 3360
106 96 5088
107 96 10272
108 96 864
109 96 10464
110 96 5280
111 96 3552
112 96 672
113 96 10848
114 96 1824
115 96 11040
116 96 2784
117 96 3744
118 96 5664
119 96 11424
120 96 480
121 96 11616
122 96 5856

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.

See Also