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LCM for 72 and 96

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 72 and 96?

Answer

LCM of 72 and 96 is 288

(Two hundred eighty-eight)

Finding LCM for 72 and 96 using GCF of these numbers

The first method to find LCM for numbers 72 and 96 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 72 and 96 is 24, so

LCM = (72 × 96) ÷ 24

LCM = 6912 ÷ 24

LCM = 288

Finding LCM for 72 and 96 by Listing Multiples

The second method to find LCM for numbers 72 and 96 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 72: 72, 144, 216, 288, 360, 432

Multiples of 96: 96, 192, 288, 384, 480

So the LCM for 72 and 96 is 288

Finding LCM for 72 and 96 by Prime Factorization

Another method to find LCM for numbers 72 and 96 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 72: 2, 2, 2, 3, 3 (exponent form: 23, 32)

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

25 × 32 = 288

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What is the LCM of 72 and 96?. Find the LCM of 72 and 96 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
57961824
58962784
59965664
6096480
61965856
62962976
63962016
6496192
65966240
66961056
67966432
68961632
69962208
70963360
71966816
7296288
73967008
74963552
75962400
76961824
77967392
78961248
79967584
8096480
81962592
82963936
83967968
8496672
85968160
86964128

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 72 and 96? (The answer is: 288). Select the first number (e.g. '72') 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

and

FAQ

What's the Least Common Multiple (LCM) of 72 and 96?

LCM of 72 and 96 is 288

How to find the LCM of 72 and 96 using prime factorization?

To find the LCM of 72 and 96, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 288.

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 72 and 96: LCM = 288, GCF = 24.