LCM for 96 and 144

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What's the Least Common Multiple (LCM) of 96 and 144?

Answer

LCM of 96 and 144 is
288

(Two hundred eighty-eight)

Finding LCM for 96 and 144 using GCF of these numbers

The first method to find LCM for numbers 96 and 144 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 96 and 144 is 48, so

LCM = (96 × 144) ÷ 48

LCM = 13,824 ÷ 48

LCM = 288

Finding LCM for 96 and 144 by Listing Multiples

The second method to find LCM for numbers 96 and 144 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 144: 144, 288, 432, 576

So the LCM for 96 and 144 is 288

Finding LCM for 96 and 144 by Prime Factorization

Another method to find LCM for numbers 96 and 144 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 144: 2, 2, 2, 2, 3, 3 (exponent form: 24, 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 144? (The answer is: 288). Select the first number (e.g. '96') and the second number (e.g. '144'). 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
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LCM Table

Number 1Number 2LCM
961294,128
961306,240
9613112,576
961321,056
9613312,768
961346,432
961354,320
961361,632
9613713,152
961382,208
9613913,344
961403,360
961414,512
961426,816
9614313,728
96144288
9614513,920
961467,008
961474,704
961483,552
9614914,304
961502,400
9615114,496
961521,824
961534,896
961547,392
9615514,880
961561,248
9615715,072
961587,584

FAQ

What's the Least Common Multiple (LCM) of 96 and 144?

LCM of 96 and 144 is 288

How to find the LCM of 96 and 144 using prime factorization?

To find the LCM of 96 and 144, 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 144: LCM = 288, GCF = 48.

See Also