Least Common Multiple of 9365 and 9367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9365 and 9367 the smallest integer that is 87721955 that is divisible by both numbers.

Least Common Multiple (LCM) of 9365 and 9367 is 87721955.

LCM(9365,9367) = 87721955

LCM of 9365 and 9367

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

LCM of:
and

Least Common Multiple of 9365 and 9367

LCM of 9365 and 9367 is 87721955

Least common multiple can be found by multiplying the highest exponent prime factors of 9365 and 9367. First we will calculate the prime factors of 9365 and 9367.

Prime Factorization of 9365


5 9365
1873 1873
1

Prime factors of 9365 are 5,1873. Prime factorization of 9365 in exponential form is:

9365 = 51×18731

Prime Factorization of 9367


17 9367
19 551
29 29
1

Prime factors of 9367 are 17, 19,29. Prime factorization of 9367 in exponential form is:

9367 = 171×191×291

Now multiplying the highest exponent prime factors to calculate the LCM of 9365 and 9367.

LCM(9365,9367) = 51×171×191×291×18731
LCM(9365,9367) = 87721955

Factors of 9365

List of positive integer factors of 9365 that divides 9365 without a remainder.

1, 5, 1873, 9365

Factors of 9367

List of positive integer factors of 9367 that divides 9367 without a remainder.

1, 17, 19, 29, 323, 493, 551, 9367

Least Common Multiple of 9365 and 9367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9365 and 9367, than apply into the LCM equation.

GCF(9365,9367) = 1
LCM(9365,9367) = ( 9365 × 9367) / 1
LCM(9365,9367) = 87721955 / 1
LCM(9365,9367) = 87721955

Properties of LCM 9365 and 9367

(i) The LCM of 9367 and 9365 is associative

LCM of 9365 and 9367 = LCM of 9367 and 9365

Related Least Common Multiples of 9365

Related Least Common Multiples of 9367

Frequently Asked Questions on LCM of 9365 and 9367

1. What is the LCM of 9365 and 9367?

Answer: LCM of 9365 and 9367 is 87721955.

2. What are the Factors of 9365?

Answer: Factors of 9365 are 1, 5, 1873, 9365. There are 4 integers that are factors of 9365. The greatest factor of 9365 is 9365.

3. What are the Factors of 9367?

Answer: Factors of 9367 are 1, 17, 19, 29, 323, 493, 551, 9367. There are 8 integers that are factors of 9367. The greatest factor of 9367 is 9367.

4. How to Find the LCM of 9365 and 9367?

Answer:

Least Common Multiple of 9365 and 9367 = 87721955

Step 1: Find the prime factorization of 9365

9365 = 5 x 1873

Step 2: Find the prime factorization of 9367

9367 = 17 x 19 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 = 87721955 = 5 x 17 x 19 x 29 x 1873

Step 4: Therefore, the least common multiple of 9365 and 9367 is 87721955.