Least Common Multiple of 8263 and 8269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8263 and 8269 the smallest integer that is 68326747 that is divisible by both numbers.

Least Common Multiple (LCM) of 8263 and 8269 is 68326747.

LCM(8263,8269) = 68326747

LCM of 8263 and 8269

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

LCM of:
and

Least Common Multiple of 8263 and 8269

LCM of 8263 and 8269 is 68326747

Least common multiple can be found by multiplying the highest exponent prime factors of 8263 and 8269. First we will calculate the prime factors of 8263 and 8269.

Prime Factorization of 8263


8263 8263
1

Prime factors of 8263 are 8263. Prime factorization of 8263 in exponential form is:

8263 = 82631

Prime Factorization of 8269


8269 8269
1

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

8269 = 82691

Now multiplying the highest exponent prime factors to calculate the LCM of 8263 and 8269.

LCM(8263,8269) = 82631×82691
LCM(8263,8269) = 68326747

Factors of 8263

List of positive integer factors of 8263 that divides 8263 without a remainder.

1, 8263

Factors of 8269

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

1, 8269

Least Common Multiple of 8263 and 8269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8263 and 8269, than apply into the LCM equation.

GCF(8263,8269) = 1
LCM(8263,8269) = ( 8263 × 8269) / 1
LCM(8263,8269) = 68326747 / 1
LCM(8263,8269) = 68326747

Properties of LCM 8263 and 8269

(i) The LCM of 8269 and 8263 is associative

LCM of 8263 and 8269 = LCM of 8269 and 8263

Related Least Common Multiples of 8263

Related Least Common Multiples of 8269

Frequently Asked Questions on LCM of 8263 and 8269

1. What is the LCM of 8263 and 8269?

Answer: LCM of 8263 and 8269 is 68326747.

2. What are the Factors of 8263?

Answer: Factors of 8263 are 1, 8263. There are 2 integers that are factors of 8263. The greatest factor of 8263 is 8263.

3. 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.

4. How to Find the LCM of 8263 and 8269?

Answer:

Least Common Multiple of 8263 and 8269 = 68326747

Step 1: Find the prime factorization of 8263

8263 = 8263

Step 2: Find the prime factorization of 8269

8269 = 8269

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

LCM = 68326747 = 8263 x 8269

Step 4: Therefore, the least common multiple of 8263 and 8269 is 68326747.