LCM for 120 and 180

"Least Common Multiple" Calculator

Least Common Multiple of

and

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 = 21600 ÷ 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

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
1051801260
1061809540
10718019260
108180540
10918019620
1101801980
1111806660
1121805040
11318020340
1141803420
1151804140
1161805220
1171802340
11818010620
11918021420
120180360
12118021780
12218010980
1231807380
1241805580
1251804500
1261801260
12718022860
1281805760
1291807740
1301802340
13118023580
1321801980
13318023940
13418012060

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