LCM for 96 and 360

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 96 and 360?

Answer: LCM of 96 and 360 is 1,440

(One thousand, four hundred forty)

Finding LCM for 96 and 360 using GCF's of these numbers

The first method to find LCM for numbers 96 and 360 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 96 and 360 is 24, so

LCM = (96 × 360) ÷ 24

LCM = 34560 ÷ 24

LCM = 1440

Finding LCM for 96 and 360 by Listing Multiples

The second method to find LCM for numbers 96 and 360 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 96: 96, 192, 288, 384, 480, 576, 672, 768, 864, 960, 1056, 1152, 1248, 1344, 1440, 1536, 1632

Multiples of 360: 360, 720, 1080, 1440, 1800, 2160

So the LCM for 96 and 360 is 1440

Finding LCM for 96 and 360 by Prime Factorization

Another method to find LCM for numbers 96 and 360 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 360: 2, 2, 2, 3, 3, 5 (exponent form: 23, 32, 51)

25 × 32 × 51 = 1440

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LCM Table

Number 1Number 2LCM
813603240
8236014760
8336029880
843602520
853606120
8636015480
8736010440
883603960
8936032040
90360360
9136032760
923608280
9336011160
9436016920
953606840
963601440
9736034920
9836017640
993603960
1003601800
10136036360
1023606120
10336037080
1043604680
1053602520
10636019080
10736038520
1083601080
10936039240
1103603960

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 360? (The answer is: 1440). Select the first number (e.g. '96') and the second number (e.g. '360'). 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 360?

LCM of 96 and 360 is 1,440

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