LCM for 96 and 144

"Least Common Multiple" Calculator

Least Common Multiple of

and

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's 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 = 13824 ÷ 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 nubmers and pick the first which matching:

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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LCM Table

Number 1Number 2LCM
811441296
821445904
8314411952
841441008
8514412240
861446192
871444176
881441584
8914412816
90144720
9114413104
921443312
931444464
941446768
9514413680
96144288
9714413968
981447056
991441584
1001443600
10114414544
1021442448
10314414832
1041441872
1051445040
1061447632
10714415408
108144432
10914415696
1101447920

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

Least Common Multiple of

and

FAQ

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

LCM of 96 and 144 is 288

See Also