Least Common Multiple of 9237 and 9243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9237 and 9243 the smallest integer that is 28459197 that is divisible by both numbers.

Least Common Multiple (LCM) of 9237 and 9243 is 28459197.

LCM(9237,9243) = 28459197

LCM of 9237 and 9243

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

LCM of:
and

Least Common Multiple of 9237 and 9243

LCM of 9237 and 9243 is 28459197

Least common multiple can be found by multiplying the highest exponent prime factors of 9237 and 9243. First we will calculate the prime factors of 9237 and 9243.

Prime Factorization of 9237


3 9237
3079 3079
1

Prime factors of 9237 are 3,3079. Prime factorization of 9237 in exponential form is:

9237 = 31×30791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9237 and 9243.

LCM(9237,9243) = 32×131×791×30791
LCM(9237,9243) = 28459197

Factors of 9237

List of positive integer factors of 9237 that divides 9237 without a remainder.

1, 3, 3079, 9237

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

Least Common Multiple of 9237 and 9243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9237 and 9243, than apply into the LCM equation.

GCF(9237,9243) = 3
LCM(9237,9243) = ( 9237 × 9243) / 3
LCM(9237,9243) = 85377591 / 3
LCM(9237,9243) = 28459197

Properties of LCM 9237 and 9243

(i) The LCM of 9243 and 9237 is associative

LCM of 9237 and 9243 = LCM of 9243 and 9237

Related Least Common Multiples of 9237

Related Least Common Multiples of 9243

Frequently Asked Questions on LCM of 9237 and 9243

1. What is the LCM of 9237 and 9243?

Answer: LCM of 9237 and 9243 is 28459197.

2. What are the Factors of 9237?

Answer: Factors of 9237 are 1, 3, 3079, 9237. There are 4 integers that are factors of 9237. The greatest factor of 9237 is 9237.

3. 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.

4. How to Find the LCM of 9237 and 9243?

Answer:

Least Common Multiple of 9237 and 9243 = 28459197

Step 1: Find the prime factorization of 9237

9237 = 3 x 3079

Step 2: Find the prime factorization of 9243

9243 = 3 x 3 x 13 x 79

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

LCM = 28459197 = 3 x 3 x 13 x 79 x 3079

Step 4: Therefore, the least common multiple of 9237 and 9243 is 28459197.