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 = 97,200 ÷ 90

LCM = 1,080

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, 1,080, 1,350, 1,620

Multiples of 360: 360, 720, 1,080, 1,440, 1,800

So the LCM for 270 and 360 is 1,080

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 = 1,080

Related Calculations

See Also

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: 1,080). 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

LCM Table

Number 1Number 2LCM
2703456,210
27034646,710
27034793,690
27034815,660
27034994,230
2703509,450
2703513,510
27035247,520
27035395,310
27035415,930
27035519,170
27035648,060
27035732,130
27035848,330
27035996,930
2703601,080
27036197,470
27036248,870
27036332,670
27036449,140
27036519,710
27036616,470
27036799,090
27036849,680
27036911,070
2703709,990
270371100,170
27037216,740
270373100,710
27037450,490

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