Least Common Multiple of 9397 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 9397 and 9404 the smallest integer that is 88369388 that is divisible by both numbers.

Least Common Multiple (LCM) of 9397 and 9404 is 88369388.

LCM(9397,9404) = 88369388

LCM of 9397 and 9404

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

LCM of:
and

Least Common Multiple of 9397 and 9404

LCM of 9397 and 9404 is 88369388

Least common multiple can be found by multiplying the highest exponent prime factors of 9397 and 9404. First we will calculate the prime factors of 9397 and 9404.

Prime Factorization of 9397


9397 9397
1

Prime factors of 9397 are 9397. Prime factorization of 9397 in exponential form is:

9397 = 93971

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 9397 and 9404.

LCM(9397,9404) = 22×23511×93971
LCM(9397,9404) = 88369388

Factors of 9397

List of positive integer factors of 9397 that divides 9397 without a remainder.

1, 9397

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 9397 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 9397 and 9404, than apply into the LCM equation.

GCF(9397,9404) = 1
LCM(9397,9404) = ( 9397 × 9404) / 1
LCM(9397,9404) = 88369388 / 1
LCM(9397,9404) = 88369388

Properties of LCM 9397 and 9404

(i) The LCM of 9404 and 9397 is associative

LCM of 9397 and 9404 = LCM of 9404 and 9397

Related Least Common Multiples of 9397

Related Least Common Multiples of 9404

Frequently Asked Questions on LCM of 9397 and 9404

1. What is the LCM of 9397 and 9404?

Answer: LCM of 9397 and 9404 is 88369388.

2. What are the Factors of 9397?

Answer: Factors of 9397 are 1, 9397. There are 2 integers that are factors of 9397. The greatest factor of 9397 is 9397.

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 9397 and 9404?

Answer:

Least Common Multiple of 9397 and 9404 = 88369388

Step 1: Find the prime factorization of 9397

9397 = 9397

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 = 88369388 = 2 x 2 x 2351 x 9397

Step 4: Therefore, the least common multiple of 9397 and 9404 is 88369388.