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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

See Also

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What is the LCM of 270 and 360?. Find the LCM of 270 and 360 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
2553606120
25636011520
25736092520
25836015480
25936093240
2603604680
26136010440
26236047160
26336094680
2643603960
26536019080
26636047880
26736032040
26836024120
26936096840
2703601080
27136097560
27236012240
27336032760
27436049320
27536019800
2763608280
27736099720
27836050040
27936011160
2803602520
281360101160
28236016920
283360101880
28436025560

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