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LCM for 120 and 144

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 120 and 144?

Answer

LCM of 120 and 144 is 720

(Seven hundred twenty)

Finding LCM for 120 and 144 using GCF of these numbers

The first method to find LCM for numbers 120 and 144 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 120 and 144 is 24, so

LCM = (120 × 144) ÷ 24

LCM = 17280 ÷ 24

LCM = 720

Finding LCM for 120 and 144 by Listing Multiples

The second method to find LCM for numbers 120 and 144 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 120: 120, 240, 360, 480, 600, 720, 840, 960

Multiples of 144: 144, 288, 432, 576, 720, 864, 1008

So the LCM for 120 and 144 is 720

Finding LCM for 120 and 144 by Prime Factorization

Another method to find LCM for numbers 120 and 144 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 120: 2, 2, 2, 3, 5 (exponent form: 23, 31, 51)

All Prime Factors of 144: 2, 2, 2, 2, 3, 3 (exponent form: 24, 32)

24 × 32 × 51 = 720

See Also

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What is the LCM of 120 and 144?. Find the LCM of 120 and 144 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
1051445040
1061447632
10714415408
108144432
10914415696
1101447920
1111445328
1121441008
11314416272
1141442736
11514416560
1161444176
1171441872
1181448496
11914417136
120144720
12114417424
1221448784
1231445904
1241444464
12514418000
1261441008
12714418288
1281441152
1291446192
1301449360
13114418864
1321441584
13314419152
1341449648

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 120 and 144? (The answer is: 720). Select the first number (e.g. '120') 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 120 and 144?

LCM of 120 and 144 is 720

How to find the LCM of 120 and 144 using prime factorization?

To find the LCM of 120 and 144, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 720.

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 120 and 144: LCM = 720, GCF = 24.