Least Common Multiple of 8243 and 8249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8243 and 8249 the smallest integer that is 67996507 that is divisible by both numbers.

Least Common Multiple (LCM) of 8243 and 8249 is 67996507.

LCM(8243,8249) = 67996507

LCM of 8243 and 8249

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

LCM of:
and

Least Common Multiple of 8243 and 8249

LCM of 8243 and 8249 is 67996507

Least common multiple can be found by multiplying the highest exponent prime factors of 8243 and 8249. First we will calculate the prime factors of 8243 and 8249.

Prime Factorization of 8243


8243 8243
1

Prime factors of 8243 are 8243. Prime factorization of 8243 in exponential form is:

8243 = 82431

Prime Factorization of 8249


73 8249
113 113
1

Prime factors of 8249 are 73,113. Prime factorization of 8249 in exponential form is:

8249 = 731×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 8243 and 8249.

LCM(8243,8249) = 731×1131×82431
LCM(8243,8249) = 67996507

Factors of 8243

List of positive integer factors of 8243 that divides 8243 without a remainder.

1, 8243

Factors of 8249

List of positive integer factors of 8249 that divides 8249 without a remainder.

1, 73, 113, 8249

Least Common Multiple of 8243 and 8249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8243 and 8249, than apply into the LCM equation.

GCF(8243,8249) = 1
LCM(8243,8249) = ( 8243 × 8249) / 1
LCM(8243,8249) = 67996507 / 1
LCM(8243,8249) = 67996507

Properties of LCM 8243 and 8249

(i) The LCM of 8249 and 8243 is associative

LCM of 8243 and 8249 = LCM of 8249 and 8243

Related Least Common Multiples of 8243

Related Least Common Multiples of 8249

Frequently Asked Questions on LCM of 8243 and 8249

1. What is the LCM of 8243 and 8249?

Answer: LCM of 8243 and 8249 is 67996507.

2. What are the Factors of 8243?

Answer: Factors of 8243 are 1, 8243. There are 2 integers that are factors of 8243. The greatest factor of 8243 is 8243.

3. What are the Factors of 8249?

Answer: Factors of 8249 are 1, 73, 113, 8249. There are 4 integers that are factors of 8249. The greatest factor of 8249 is 8249.

4. How to Find the LCM of 8243 and 8249?

Answer:

Least Common Multiple of 8243 and 8249 = 67996507

Step 1: Find the prime factorization of 8243

8243 = 8243

Step 2: Find the prime factorization of 8249

8249 = 73 x 113

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

LCM = 67996507 = 73 x 113 x 8243

Step 4: Therefore, the least common multiple of 8243 and 8249 is 67996507.