Least Common Multiple of 9399 and 9404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9399 and 9404 the smallest integer that is 88388196 that is divisible by both numbers.

Least Common Multiple (LCM) of 9399 and 9404 is 88388196.

LCM(9399,9404) = 88388196

LCM of 9399 and 9404

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

LCM of:
and

Least Common Multiple of 9399 and 9404

LCM of 9399 and 9404 is 88388196

Least common multiple can be found by multiplying the highest exponent prime factors of 9399 and 9404. First we will calculate the prime factors of 9399 and 9404.

Prime Factorization of 9399


3 9399
13 3133
241 241
1

Prime factors of 9399 are 3, 13,241. Prime factorization of 9399 in exponential form is:

9399 = 31×131×2411

Prime Factorization of 9404


2 9404
2 4702
2351 2351
1

Prime factors of 9404 are 2,2351. Prime factorization of 9404 in exponential form is:

9404 = 22×23511

Now multiplying the highest exponent prime factors to calculate the LCM of 9399 and 9404.

LCM(9399,9404) = 22×31×131×2411×23511
LCM(9399,9404) = 88388196

Factors of 9399

List of positive integer factors of 9399 that divides 9399 without a remainder.

1, 3, 13, 39, 241, 723, 3133, 9399

Factors of 9404

List of positive integer factors of 9404 that divides 9404 without a remainder.

1, 2, 4, 2351, 4702, 9404

Least Common Multiple of 9399 and 9404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9399 and 9404, than apply into the LCM equation.

GCF(9399,9404) = 1
LCM(9399,9404) = ( 9399 × 9404) / 1
LCM(9399,9404) = 88388196 / 1
LCM(9399,9404) = 88388196

Properties of LCM 9399 and 9404

(i) The LCM of 9404 and 9399 is associative

LCM of 9399 and 9404 = LCM of 9404 and 9399

Related Least Common Multiples of 9399

Related Least Common Multiples of 9404

Frequently Asked Questions on LCM of 9399 and 9404

1. What is the LCM of 9399 and 9404?

Answer: LCM of 9399 and 9404 is 88388196.

2. What are the Factors of 9399?

Answer: Factors of 9399 are 1, 3, 13, 39, 241, 723, 3133, 9399. There are 8 integers that are factors of 9399. The greatest factor of 9399 is 9399.

3. What are the Factors of 9404?

Answer: Factors of 9404 are 1, 2, 4, 2351, 4702, 9404. There are 6 integers that are factors of 9404. The greatest factor of 9404 is 9404.

4. How to Find the LCM of 9399 and 9404?

Answer:

Least Common Multiple of 9399 and 9404 = 88388196

Step 1: Find the prime factorization of 9399

9399 = 3 x 13 x 241

Step 2: Find the prime factorization of 9404

9404 = 2 x 2 x 2351

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

LCM = 88388196 = 2 x 2 x 3 x 13 x 241 x 2351

Step 4: Therefore, the least common multiple of 9399 and 9404 is 88388196.