LCM for 96 and 36

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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 = 3,456 ÷ 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
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LCM Table

Number 1Number 2LCM
9621672
96221,056
96232,208
962496
96252,400
96261,248
9627864
9628672
96292,784
9630480
96312,976
963296
96331,056
96341,632
96353,360
9636288
96373,552
96381,824
96391,248
9640480
96413,936
9642672
96434,128
96441,056
96451,440
96462,208
96474,512
964896
96494,704
96502,400

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