Least Common Multiple of 9231 and 9237

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9231 and 9237 the smallest integer that is 28422249 that is divisible by both numbers.

Least Common Multiple (LCM) of 9231 and 9237 is 28422249.

LCM(9231,9237) = 28422249

LCM of 9231 and 9237

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

LCM of:
and

Least Common Multiple of 9231 and 9237

LCM of 9231 and 9237 is 28422249

Least common multiple can be found by multiplying the highest exponent prime factors of 9231 and 9237. First we will calculate the prime factors of 9231 and 9237.

Prime Factorization of 9231


3 9231
17 3077
181 181
1

Prime factors of 9231 are 3, 17,181. Prime factorization of 9231 in exponential form is:

9231 = 31×171×1811

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9231 and 9237.

LCM(9231,9237) = 31×171×1811×30791
LCM(9231,9237) = 28422249

Factors of 9231

List of positive integer factors of 9231 that divides 9231 without a remainder.

1, 3, 17, 51, 181, 543, 3077, 9231

Factors of 9237

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

1, 3, 3079, 9237

Least Common Multiple of 9231 and 9237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9231 and 9237, than apply into the LCM equation.

GCF(9231,9237) = 3
LCM(9231,9237) = ( 9231 × 9237) / 3
LCM(9231,9237) = 85266747 / 3
LCM(9231,9237) = 28422249

Properties of LCM 9231 and 9237

(i) The LCM of 9237 and 9231 is associative

LCM of 9231 and 9237 = LCM of 9237 and 9231

Related Least Common Multiples of 9231

Related Least Common Multiples of 9237

Frequently Asked Questions on LCM of 9231 and 9237

1. What is the LCM of 9231 and 9237?

Answer: LCM of 9231 and 9237 is 28422249.

2. What are the Factors of 9231?

Answer: Factors of 9231 are 1, 3, 17, 51, 181, 543, 3077, 9231. There are 8 integers that are factors of 9231. The greatest factor of 9231 is 9231.

3. 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.

4. How to Find the LCM of 9231 and 9237?

Answer:

Least Common Multiple of 9231 and 9237 = 28422249

Step 1: Find the prime factorization of 9231

9231 = 3 x 17 x 181

Step 2: Find the prime factorization of 9237

9237 = 3 x 3079

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

LCM = 28422249 = 3 x 17 x 181 x 3079

Step 4: Therefore, the least common multiple of 9231 and 9237 is 28422249.