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LCM for 180 and 270

"Least Common Multiple" Calculator

Least Common Multiple of

and

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

Answer

LCM of 180 and 270 is 540

(Five hundred forty)

Finding LCM for 180 and 270 using GCF of these numbers

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

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 180 and 270 is 90, so

LCM = (180 × 270) ÷ 90

LCM = 48600 ÷ 90

LCM = 540

Finding LCM for 180 and 270 by Listing Multiples

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

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

Multiples of 270: 270, 540, 810, 1080

So the LCM for 180 and 270 is 540

Finding LCM for 180 and 270 by Prime Factorization

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

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

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

22 × 33 × 51 = 540

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What is the LCM of 180 and 270?. Find the LCM of 180 and 270 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
1652702970
16627022410
16727045090
1682707560
16927045630
1702704590
1712705130
17227023220
17327046710
1742707830
1752709450
17627023760
17727015930
17827024030
17927048330
180270540
18127048870
18227024570
18327016470
18427024840
1852709990
1862708370
18727050490
18827025380
1892701890
1902705130
19127051570
1922708640
19327052110
19427026190

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 180 and 270? (The answer is: 540). Select the first number (e.g. '180') and the second number (e.g. '270'). 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

FAQ

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

LCM of 180 and 270 is 540

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

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