Least Common Multiple of 9243 and 9249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9243 and 9249 the smallest integer that is 28496169 that is divisible by both numbers.

Least Common Multiple (LCM) of 9243 and 9249 is 28496169.

LCM(9243,9249) = 28496169

LCM of 9243 and 9249

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

LCM of:
and

Least Common Multiple of 9243 and 9249

LCM of 9243 and 9249 is 28496169

Least common multiple can be found by multiplying the highest exponent prime factors of 9243 and 9249. First we will calculate the prime factors of 9243 and 9249.

Prime Factorization of 9243


3 9243
3 3081
13 1027
79 79
1

Prime factors of 9243 are 3, 13,79. Prime factorization of 9243 in exponential form is:

9243 = 32×131×791

Prime Factorization of 9249


3 9249
3083 3083
1

Prime factors of 9249 are 3,3083. Prime factorization of 9249 in exponential form is:

9249 = 31×30831

Now multiplying the highest exponent prime factors to calculate the LCM of 9243 and 9249.

LCM(9243,9249) = 32×131×791×30831
LCM(9243,9249) = 28496169

Factors of 9243

List of positive integer factors of 9243 that divides 9243 without a remainder.

1, 3, 9, 13, 39, 79, 117, 237, 711, 1027, 3081, 9243

Factors of 9249

List of positive integer factors of 9249 that divides 9249 without a remainder.

1, 3, 3083, 9249

Least Common Multiple of 9243 and 9249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9243 and 9249, than apply into the LCM equation.

GCF(9243,9249) = 3
LCM(9243,9249) = ( 9243 × 9249) / 3
LCM(9243,9249) = 85488507 / 3
LCM(9243,9249) = 28496169

Properties of LCM 9243 and 9249

(i) The LCM of 9249 and 9243 is associative

LCM of 9243 and 9249 = LCM of 9249 and 9243

Related Least Common Multiples of 9243

Related Least Common Multiples of 9249

Frequently Asked Questions on LCM of 9243 and 9249

1. What is the LCM of 9243 and 9249?

Answer: LCM of 9243 and 9249 is 28496169.

2. What are the Factors of 9243?

Answer: Factors of 9243 are 1, 3, 9, 13, 39, 79, 117, 237, 711, 1027, 3081, 9243. There are 12 integers that are factors of 9243. The greatest factor of 9243 is 9243.

3. What are the Factors of 9249?

Answer: Factors of 9249 are 1, 3, 3083, 9249. There are 4 integers that are factors of 9249. The greatest factor of 9249 is 9249.

4. How to Find the LCM of 9243 and 9249?

Answer:

Least Common Multiple of 9243 and 9249 = 28496169

Step 1: Find the prime factorization of 9243

9243 = 3 x 3 x 13 x 79

Step 2: Find the prime factorization of 9249

9249 = 3 x 3083

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

LCM = 28496169 = 3 x 3 x 13 x 79 x 3083

Step 4: Therefore, the least common multiple of 9243 and 9249 is 28496169.