LCM for 120 and 144

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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 = 17,280 ÷ 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, 1,008

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

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

LCM Table

Number 1Number 2LCM
1201295,160
1201301,560
12013115,720
1201321,320
12013315,960
1201348,040
1201351,080
1201362,040
12013716,440
1201382,760
12013916,680
120140840
1201415,640
1201428,520
12014317,160
120144720
1201453,480
1201468,760
1201475,880
1201484,440
12014917,880
120150600
12015118,120
1201522,280
1201536,120
1201549,240
1201553,720
1201561,560
12015718,840
1201589,480

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.

See Also