LCM for 135 and 180

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 135 and 180?

Answer: LCM of 135 and 180 is 540

(Five hundred forty)

Finding LCM for 135 and 180 using GCF's of these numbers

The first method to find LCM for numbers 135 and 180 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 135 and 180 is 45, so

LCM = (135 × 180) ÷ 45

LCM = 24300 ÷ 45

LCM = 540

Finding LCM for 135 and 180 by Listing Multiples

The second method to find LCM for numbers 135 and 180 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 135: 135, 270, 405, 540, 675, 810

Multiples of 180: 180, 360, 540, 720, 900

So the LCM for 135 and 180 is 540

Finding LCM for 135 and 180 by Prime Factorization

Another method to find LCM for numbers 135 and 180 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 135: 3, 3, 3, 5 (exponent form: 33, 51)

All Prime Factors of 180: 2, 2, 3, 3, 5 (exponent form: 22, 32, 51)

33 × 51 × 22 = 540

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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 135 and 180? (The answer is: 540). Select the first number (e.g. '135') 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
120180360
12118021780
12218010980
1231807380
1241805580
1251804500
1261801260
12718022860
1281805760
1291807740
1301802340
13118023580
1321801980
13318023940
13418012060
135180540
1361806120
13718024660
1381804140
13918025020
1401801260
1411808460
14218012780
14318025740
144180720
1451805220
14618013140
1471808820
1481806660
14918026820

FAQ

What's the Least Common Multiple (LCM) of 135 and 180?

LCM of 135 and 180 is 540

See Also