Least Common Multiple of 267 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 267 and 273 the smallest integer that is 24297 that is divisible by both numbers.

Least Common Multiple (LCM) of 267 and 273 is 24297.

LCM(267,273) = 24297

LCM of 267 and 273

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

LCM of:
and

Least Common Multiple of 267 and 273

LCM of 267 and 273 is 24297

Least common multiple can be found by multiplying the highest exponent prime factors of 267 and 273. First we will calculate the prime factors of 267 and 273.

Prime Factorization of 267


3 267
89 89
1

Prime factors of 267 are 3,89. Prime factorization of 267 in exponential form is:

267 = 31×891

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 267 and 273.

LCM(267,273) = 31×71×131×891
LCM(267,273) = 24297

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1, 3, 89, 267

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 267 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 267 and 273, than apply into the LCM equation.

GCF(267,273) = 3
LCM(267,273) = ( 267 × 273) / 3
LCM(267,273) = 72891 / 3
LCM(267,273) = 24297

Properties of LCM 267 and 273

(i) The LCM of 273 and 267 is associative

LCM of 267 and 273 = LCM of 273 and 267

Related Least Common Multiples of 267

Related Least Common Multiples of 273

Frequently Asked Questions on LCM of 267 and 273

1. What is the LCM of 267 and 273?

Answer: LCM of 267 and 273 is 24297.

2. What are the Factors of 267?

Answer: Factors of 267 are 1, 3, 89, 267. There are 4 integers that are factors of 267. The greatest factor of 267 is 267.

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 267 and 273?

Answer:

Least Common Multiple of 267 and 273 = 24297

Step 1: Find the prime factorization of 267

267 = 3 x 89

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 = 24297 = 3 x 7 x 13 x 89

Step 4: Therefore, the least common multiple of 267 and 273 is 24297.