Least Common Multiple of 9391 and 9396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9391 and 9396 the smallest integer that is 88237836 that is divisible by both numbers.

Least Common Multiple (LCM) of 9391 and 9396 is 88237836.

LCM(9391,9396) = 88237836

LCM of 9391 and 9396

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

LCM of:
and

Least Common Multiple of 9391 and 9396

LCM of 9391 and 9396 is 88237836

Least common multiple can be found by multiplying the highest exponent prime factors of 9391 and 9396. First we will calculate the prime factors of 9391 and 9396.

Prime Factorization of 9391


9391 9391
1

Prime factors of 9391 are 9391. Prime factorization of 9391 in exponential form is:

9391 = 93911

Prime Factorization of 9396


2 9396
2 4698
3 2349
3 783
3 261
3 87
29 29
1

Prime factors of 9396 are 2, 3,29. Prime factorization of 9396 in exponential form is:

9396 = 22×34×291

Now multiplying the highest exponent prime factors to calculate the LCM of 9391 and 9396.

LCM(9391,9396) = 22×34×291×93911
LCM(9391,9396) = 88237836

Factors of 9391

List of positive integer factors of 9391 that divides 9391 without a remainder.

1, 9391

Factors of 9396

List of positive integer factors of 9396 that divides 9396 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 29, 36, 54, 58, 81, 87, 108, 116, 162, 174, 261, 324, 348, 522, 783, 1044, 1566, 2349, 3132, 4698, 9396

Least Common Multiple of 9391 and 9396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9391 and 9396, than apply into the LCM equation.

GCF(9391,9396) = 1
LCM(9391,9396) = ( 9391 × 9396) / 1
LCM(9391,9396) = 88237836 / 1
LCM(9391,9396) = 88237836

Properties of LCM 9391 and 9396

(i) The LCM of 9396 and 9391 is associative

LCM of 9391 and 9396 = LCM of 9396 and 9391

Related Least Common Multiples of 9391

Related Least Common Multiples of 9396

Frequently Asked Questions on LCM of 9391 and 9396

1. What is the LCM of 9391 and 9396?

Answer: LCM of 9391 and 9396 is 88237836.

2. What are the Factors of 9391?

Answer: Factors of 9391 are 1, 9391. There are 2 integers that are factors of 9391. The greatest factor of 9391 is 9391.

3. What are the Factors of 9396?

Answer: Factors of 9396 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 29, 36, 54, 58, 81, 87, 108, 116, 162, 174, 261, 324, 348, 522, 783, 1044, 1566, 2349, 3132, 4698, 9396. There are 30 integers that are factors of 9396. The greatest factor of 9396 is 9396.

4. How to Find the LCM of 9391 and 9396?

Answer:

Least Common Multiple of 9391 and 9396 = 88237836

Step 1: Find the prime factorization of 9391

9391 = 9391

Step 2: Find the prime factorization of 9396

9396 = 2 x 2 x 3 x 3 x 3 x 3 x 29

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

LCM = 88237836 = 2 x 2 x 3 x 3 x 3 x 3 x 29 x 9391

Step 4: Therefore, the least common multiple of 9391 and 9396 is 88237836.