LCM for 120 and 180

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What's the Least Common Multiple (LCM) of 120 and 180?

Answer

LCM of 120 and 180 is
360

(Three hundred sixty)

Finding LCM for 120 and 180 using GCF of these numbers

The first method to find LCM for numbers 120 and 180 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 120 and 180 is 60, so

LCM = (120 × 180) ÷ 60

LCM = 21,600 ÷ 60

LCM = 360

Finding LCM for 120 and 180 by Listing Multiples

The second method to find LCM for numbers 120 and 180 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

Multiples of 180: 180, 360, 540, 720

So the LCM for 120 and 180 is 360

Finding LCM for 120 and 180 by Prime Factorization

Another method to find LCM for numbers 120 and 180 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 180: 2, 2, 3, 3, 5 (exponent form: 22, 32, 51)

23 × 32 × 51 = 360

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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 120 and 180? (The answer is: 360). Select the first number (e.g. '120') and the second number (e.g. '180'). 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
1201651,320
1201669,960
12016720,040
120168840
12016920,280
1201702,040
1201716,840
1201725,160
12017320,760
1201743,480
1201754,200
1201762,640
1201777,080
12017810,680
12017921,480
120180360
12018121,720
12018210,920
1201837,320
1201842,760
1201854,440
1201863,720
12018722,440
1201885,640
1201897,560
1201902,280
12019122,920
120192960
12019323,160
12019411,640

FAQ

What's the Least Common Multiple (LCM) of 120 and 180?

LCM of 120 and 180 is 360

How to find the LCM of 120 and 180 using prime factorization?

To find the LCM of 120 and 180, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 360.

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 180: LCM = 360, GCF = 60.

See Also