Least Common Multiple of 8269 and 8273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8269 and 8273 the smallest integer that is 68409437 that is divisible by both numbers.

Least Common Multiple (LCM) of 8269 and 8273 is 68409437.

LCM(8269,8273) = 68409437

LCM of 8269 and 8273

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

LCM of:
and

Least Common Multiple of 8269 and 8273

LCM of 8269 and 8273 is 68409437

Least common multiple can be found by multiplying the highest exponent prime factors of 8269 and 8273. First we will calculate the prime factors of 8269 and 8273.

Prime Factorization of 8269


8269 8269
1

Prime factors of 8269 are 8269. Prime factorization of 8269 in exponential form is:

8269 = 82691

Prime Factorization of 8273


8273 8273
1

Prime factors of 8273 are 8273. Prime factorization of 8273 in exponential form is:

8273 = 82731

Now multiplying the highest exponent prime factors to calculate the LCM of 8269 and 8273.

LCM(8269,8273) = 82691×82731
LCM(8269,8273) = 68409437

Factors of 8269

List of positive integer factors of 8269 that divides 8269 without a remainder.

1, 8269

Factors of 8273

List of positive integer factors of 8273 that divides 8273 without a remainder.

1, 8273

Least Common Multiple of 8269 and 8273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8269 and 8273, than apply into the LCM equation.

GCF(8269,8273) = 1
LCM(8269,8273) = ( 8269 × 8273) / 1
LCM(8269,8273) = 68409437 / 1
LCM(8269,8273) = 68409437

Properties of LCM 8269 and 8273

(i) The LCM of 8273 and 8269 is associative

LCM of 8269 and 8273 = LCM of 8273 and 8269

Related Least Common Multiples of 8269

Related Least Common Multiples of 8273

Frequently Asked Questions on LCM of 8269 and 8273

1. What is the LCM of 8269 and 8273?

Answer: LCM of 8269 and 8273 is 68409437.

2. What are the Factors of 8269?

Answer: Factors of 8269 are 1, 8269. There are 2 integers that are factors of 8269. The greatest factor of 8269 is 8269.

3. What are the Factors of 8273?

Answer: Factors of 8273 are 1, 8273. There are 2 integers that are factors of 8273. The greatest factor of 8273 is 8273.

4. How to Find the LCM of 8269 and 8273?

Answer:

Least Common Multiple of 8269 and 8273 = 68409437

Step 1: Find the prime factorization of 8269

8269 = 8269

Step 2: Find the prime factorization of 8273

8273 = 8273

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

LCM = 68409437 = 8269 x 8273

Step 4: Therefore, the least common multiple of 8269 and 8273 is 68409437.