Least Common Multiple of 9365 and 9371

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 9371 the smallest integer that is 87759415 that is divisible by both numbers.

Least Common Multiple (LCM) of 9365 and 9371 is 87759415.

LCM(9365,9371) = 87759415

LCM of 9365 and 9371

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

LCM of:
and

Least Common Multiple of 9365 and 9371

LCM of 9365 and 9371 is 87759415

Least common multiple can be found by multiplying the highest exponent prime factors of 9365 and 9371. First we will calculate the prime factors of 9365 and 9371.

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 9371


9371 9371
1

Prime factors of 9371 are 9371. Prime factorization of 9371 in exponential form is:

9371 = 93711

Now multiplying the highest exponent prime factors to calculate the LCM of 9365 and 9371.

LCM(9365,9371) = 51×18731×93711
LCM(9365,9371) = 87759415

Factors of 9365

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

1, 5, 1873, 9365

Factors of 9371

List of positive integer factors of 9371 that divides 9371 without a remainder.

1, 9371

Least Common Multiple of 9365 and 9371 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 9371, than apply into the LCM equation.

GCF(9365,9371) = 1
LCM(9365,9371) = ( 9365 × 9371) / 1
LCM(9365,9371) = 87759415 / 1
LCM(9365,9371) = 87759415

Properties of LCM 9365 and 9371

(i) The LCM of 9371 and 9365 is associative

LCM of 9365 and 9371 = LCM of 9371 and 9365

Related Least Common Multiples of 9365

Related Least Common Multiples of 9371

Frequently Asked Questions on LCM of 9365 and 9371

1. What is the LCM of 9365 and 9371?

Answer: LCM of 9365 and 9371 is 87759415.

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 9371?

Answer: Factors of 9371 are 1, 9371. There are 2 integers that are factors of 9371. The greatest factor of 9371 is 9371.

4. How to Find the LCM of 9365 and 9371?

Answer:

Least Common Multiple of 9365 and 9371 = 87759415

Step 1: Find the prime factorization of 9365

9365 = 5 x 1873

Step 2: Find the prime factorization of 9371

9371 = 9371

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

LCM = 87759415 = 5 x 1873 x 9371

Step 4: Therefore, the least common multiple of 9365 and 9371 is 87759415.