Least Common Multiple of 9327 and 9331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9327 and 9331 the smallest integer that is 87030237 that is divisible by both numbers.

Least Common Multiple (LCM) of 9327 and 9331 is 87030237.

LCM(9327,9331) = 87030237

LCM of 9327 and 9331

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

LCM of:
and

Least Common Multiple of 9327 and 9331

LCM of 9327 and 9331 is 87030237

Least common multiple can be found by multiplying the highest exponent prime factors of 9327 and 9331. First we will calculate the prime factors of 9327 and 9331.

Prime Factorization of 9327


3 9327
3109 3109
1

Prime factors of 9327 are 3,3109. Prime factorization of 9327 in exponential form is:

9327 = 31×31091

Prime Factorization of 9331


7 9331
31 1333
43 43
1

Prime factors of 9331 are 7, 31,43. Prime factorization of 9331 in exponential form is:

9331 = 71×311×431

Now multiplying the highest exponent prime factors to calculate the LCM of 9327 and 9331.

LCM(9327,9331) = 31×71×311×431×31091
LCM(9327,9331) = 87030237

Factors of 9327

List of positive integer factors of 9327 that divides 9327 without a remainder.

1, 3, 3109, 9327

Factors of 9331

List of positive integer factors of 9331 that divides 9331 without a remainder.

1, 7, 31, 43, 217, 301, 1333, 9331

Least Common Multiple of 9327 and 9331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9327 and 9331, than apply into the LCM equation.

GCF(9327,9331) = 1
LCM(9327,9331) = ( 9327 × 9331) / 1
LCM(9327,9331) = 87030237 / 1
LCM(9327,9331) = 87030237

Properties of LCM 9327 and 9331

(i) The LCM of 9331 and 9327 is associative

LCM of 9327 and 9331 = LCM of 9331 and 9327

Related Least Common Multiples of 9327

Related Least Common Multiples of 9331

Frequently Asked Questions on LCM of 9327 and 9331

1. What is the LCM of 9327 and 9331?

Answer: LCM of 9327 and 9331 is 87030237.

2. What are the Factors of 9327?

Answer: Factors of 9327 are 1, 3, 3109, 9327. There are 4 integers that are factors of 9327. The greatest factor of 9327 is 9327.

3. What are the Factors of 9331?

Answer: Factors of 9331 are 1, 7, 31, 43, 217, 301, 1333, 9331. There are 8 integers that are factors of 9331. The greatest factor of 9331 is 9331.

4. How to Find the LCM of 9327 and 9331?

Answer:

Least Common Multiple of 9327 and 9331 = 87030237

Step 1: Find the prime factorization of 9327

9327 = 3 x 3109

Step 2: Find the prime factorization of 9331

9331 = 7 x 31 x 43

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

LCM = 87030237 = 3 x 7 x 31 x 43 x 3109

Step 4: Therefore, the least common multiple of 9327 and 9331 is 87030237.