Least Common Multiple of 269 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 269 and 273 the smallest integer that is 73437 that is divisible by both numbers.

Least Common Multiple (LCM) of 269 and 273 is 73437.

LCM(269,273) = 73437

LCM of 269 and 273

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

LCM of:
and

Least Common Multiple of 269 and 273

LCM of 269 and 273 is 73437

Least common multiple can be found by multiplying the highest exponent prime factors of 269 and 273. First we will calculate the prime factors of 269 and 273.

Prime Factorization of 269


269 269
1

Prime factors of 269 are 269. Prime factorization of 269 in exponential form is:

269 = 2691

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 269 and 273.

LCM(269,273) = 31×71×131×2691
LCM(269,273) = 73437

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1, 269

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 269 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 269 and 273, than apply into the LCM equation.

GCF(269,273) = 1
LCM(269,273) = ( 269 × 273) / 1
LCM(269,273) = 73437 / 1
LCM(269,273) = 73437

Properties of LCM 269 and 273

(i) The LCM of 273 and 269 is associative

LCM of 269 and 273 = LCM of 273 and 269

Related Least Common Multiples of 269

Related Least Common Multiples of 273

Frequently Asked Questions on LCM of 269 and 273

1. What is the LCM of 269 and 273?

Answer: LCM of 269 and 273 is 73437.

2. What are the Factors of 269?

Answer: Factors of 269 are 1, 269. There are 2 integers that are factors of 269. The greatest factor of 269 is 269.

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 269 and 273?

Answer:

Least Common Multiple of 269 and 273 = 73437

Step 1: Find the prime factorization of 269

269 = 269

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 = 73437 = 3 x 7 x 13 x 269

Step 4: Therefore, the least common multiple of 269 and 273 is 73437.