LCM for 270 and 180

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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 = 48,600 ÷ 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
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LCM Table

Number 1Number 2LCM
2701652,970
27016622,410
27016745,090
2701687,560
27016945,630
2701704,590
2701715,130
27017223,220
27017346,710
2701747,830
2701759,450
27017623,760
27017715,930
27017824,030
27017948,330
270180540
27018148,870
27018224,570
27018316,470
27018424,840
2701859,990
2701868,370
27018750,490
27018825,380
2701891,890
2701905,130
27019151,570
2701928,640
27019352,110
27019426,190

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