LCM for 270 and 180

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 270 and 180?

Answer

LCM of 270 and 180 is
540

(Five hundred forty)

Finding LCM for 270 and 180 using GCF of these numbers

The first method to find LCM for numbers 270 and 180 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 270 and 180 is 90, so

LCM = (270 × 180) ÷ 90

LCM = 48600 ÷ 90

LCM = 540

Finding LCM for 270 and 180 by Listing Multiples

The second method to find LCM for numbers 270 and 180 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 270: 270, 540, 810, 1080

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

So the LCM for 270 and 180 is 540

Finding LCM for 270 and 180 by Prime Factorization

Another method to find LCM for numbers 270 and 180 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 270: 2, 3, 3, 3, 5 (exponent form: 21, 33, 51)

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

22 × 33 × 51 = 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 270 and 180? (The answer is: 540). Select the first number (e.g. '270') 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
2701652970
27016622410
27016745090
2701687560
27016945630
2701704590
2701715130
27017223220
27017346710
2701747830
2701759450
27017623760
27017715930
27017824030
27017948330
270180540
27018148870
27018224570
27018316470
27018424840
2701859990
2701868370
27018750490
27018825380
2701891890
2701905130
27019151570
2701928640
27019352110
27019426190

FAQ

What's the Least Common Multiple (LCM) of 270 and 180?

LCM of 270 and 180 is 540

How to find the LCM of 270 and 180 using prime factorization?

To find the LCM of 270 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 270 and 180: LCM = 540, GCF = 90.

See Also