Least Common Multiple of 270 and 273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 270 and 273 the smallest integer that is 24570 that is divisible by both numbers.

Least Common Multiple (LCM) of 270 and 273 is 24570.

LCM(270,273) = 24570

LCM of 270 and 273

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 270 and 273

LCM of 270 and 273 is 24570

Least common multiple can be found by multiplying the highest exponent prime factors of 270 and 273. First we will calculate the prime factors of 270 and 273.

Prime Factorization of 270


2 270
3 135
3 45
3 15
5 5
1

Prime factors of 270 are 2, 3,5. Prime factorization of 270 in exponential form is:

270 = 21×33×51

Prime Factorization of 273


3 273
7 91
13 13
1

Prime factors of 273 are 3, 7,13. Prime factorization of 273 in exponential form is:

273 = 31×71×131

Now multiplying the highest exponent prime factors to calculate the LCM of 270 and 273.

LCM(270,273) = 21×33×51×71×131
LCM(270,273) = 24570

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Least Common Multiple of 270 and 273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 270 and 273, than apply into the LCM equation.

GCF(270,273) = 3
LCM(270,273) = ( 270 × 273) / 3
LCM(270,273) = 73710 / 3
LCM(270,273) = 24570

Properties of LCM 270 and 273

(i) The LCM of 273 and 270 is associative

LCM of 270 and 273 = LCM of 273 and 270

Related Least Common Multiples of 270

Related Least Common Multiples of 273

Frequently Asked Questions on LCM of 270 and 273

1. What is the LCM of 270 and 273?

Answer: LCM of 270 and 273 is 24570.

2. What are the Factors of 270?

Answer: Factors of 270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270. There are 16 integers that are factors of 270. The greatest factor of 270 is 270.

3. What are the Factors of 273?

Answer: Factors of 273 are 1, 3, 7, 13, 21, 39, 91, 273. There are 8 integers that are factors of 273. The greatest factor of 273 is 273.

4. How to Find the LCM of 270 and 273?

Answer:

Least Common Multiple of 270 and 273 = 24570

Step 1: Find the prime factorization of 270

270 = 2 x 3 x 3 x 3 x 5

Step 2: Find the prime factorization of 273

273 = 3 x 7 x 13

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 24570 = 2 x 3 x 3 x 3 x 5 x 7 x 13

Step 4: Therefore, the least common multiple of 270 and 273 is 24570.