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 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 numbers and pick the first one that matches:

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
1351651485
13516622410
13516722545
1351687560
13516922815
1351704590
1351712565
13517223220
13517323355
1351747830
1351754725
13517623760
1351777965
13517824030
13517924165
135180540
13518124435
13518224570
1351838235
13518424840
1351854995
1351868370
13518725245
13518825380
135189945
1351905130
13519125785
1351928640
13519326055
13519426190

FAQ

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

LCM of 135 and 180 is 540

How to find the LCM of 135 and 180 using prime factorization?

To find the LCM of 135 and 180, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 540.

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 135 and 180: LCM = 540, GCF = 45.

See Also