LCM for 96 and 36

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 96 and 36?

Answer

LCM of 96 and 36 is 288

(Two hundred eighty-eight)

Finding LCM for 96 and 36 using GCF of these numbers

The first method to find LCM for numbers 96 and 36 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 96 and 36 is 12, so

LCM = (96 × 36) ÷ 12

LCM = 3456 ÷ 12

LCM = 288

Finding LCM for 96 and 36 by Listing Multiples

The second method to find LCM for numbers 96 and 36 is to list out the common multiples for both numbers and pick the first one that matches:

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

Multiples of 36: 36, 72, 108, 144, 180, 216, 252, 288, 324, 360

So the LCM for 96 and 36 is 288

Finding LCM for 96 and 36 by Prime Factorization

Another method to find LCM for numbers 96 and 36 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

All Prime Factors of 36: 2, 2, 3, 3 (exponent form: 22, 32)

25 × 32 = 288

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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 96 and 36? (The answer is: 288). Select the first number (e.g. '96') and the second number (e.g. '36'). 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

LCM Table

Number 1Number 2LCM
8136324
82361476
83362988
8436252
85363060
86361548
87361044
8836792
89363204
9036180
91363276
9236828
93361116
94361692
95363420
9636288
97363492
98361764
9936396
10036900
101363636
10236612
103363708
10436936
105361260
106361908
107363852
10836108
109363924
110361980

FAQ

What's the Least Common Multiple (LCM) of 96 and 36?

LCM of 96 and 36 is 288

How to find the LCM of 96 and 36 using prime factorization?

To find the LCM of 96 and 36, 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 96 and 36: LCM = 288, GCF = 12.

See Also