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LCM for 270 and 360

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 270 and 360?

Answer

LCM of 270 and 360 is 1,080

(One thousand, eighty)

Finding LCM for 270 and 360 using GCF of these numbers

The first method to find LCM for numbers 270 and 360 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 270 and 360 is 90, so

LCM = (270 × 360) ÷ 90

LCM = 97200 ÷ 90

LCM = 1080

Finding LCM for 270 and 360 by Listing Multiples

The second method to find LCM for numbers 270 and 360 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 270: 270, 540, 810, 1080, 1350, 1620

Multiples of 360: 360, 720, 1080, 1440, 1800

So the LCM for 270 and 360 is 1080

Finding LCM for 270 and 360 by Prime Factorization

Another method to find LCM for numbers 270 and 360 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 360: 2, 2, 2, 3, 3, 5 (exponent form: 23, 32, 51)

23 × 33 × 51 = 1080

Related Calculations

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What is the LCM of 270 and 360?. The LCM of 270 and 360 is 1080 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
2703456210
27034646710
27034793690
27034815660
27034994230
2703509450
2703513510
27035247520
27035395310
27035415930
27035519170
27035648060
27035732130
27035848330
27035996930
2703601080
27036197470
27036248870
27036332670
27036449140
27036519710
27036616470
27036799090
27036849680
27036911070
2703709990
270371100170
27037216740
270373100710
27037450490

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 360? (The answer is: 1080). Select the first number (e.g. '270') and the second number (e.g. '360'). 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 270 and 360?

LCM of 270 and 360 is 1,080

How to find the LCM of 270 and 360 using prime factorization?

To find the LCM of 270 and 360, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,080.

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 360: LCM = 1,080, GCF = 90.

See Also