Least Common Multiple of 9371 and 9377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 9371 and 9377 the smallest integer that is 87871867 that is divisible by both numbers.

Least Common Multiple (LCM) of 9371 and 9377 is 87871867.

LCM(9371,9377) = 87871867

LCM of 9371 and 9377

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

LCM of:
and

Least Common Multiple of 9371 and 9377

LCM of 9371 and 9377 is 87871867

Least common multiple can be found by multiplying the highest exponent prime factors of 9371 and 9377. First we will calculate the prime factors of 9371 and 9377.

Prime Factorization of 9371


9371 9371
1

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

9371 = 93711

Prime Factorization of 9377


9377 9377
1

Prime factors of 9377 are 9377. Prime factorization of 9377 in exponential form is:

9377 = 93771

Now multiplying the highest exponent prime factors to calculate the LCM of 9371 and 9377.

LCM(9371,9377) = 93711×93771
LCM(9371,9377) = 87871867

Factors of 9371

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

1, 9371

Factors of 9377

List of positive integer factors of 9377 that divides 9377 without a remainder.

1, 9377

Least Common Multiple of 9371 and 9377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9371 and 9377, than apply into the LCM equation.

GCF(9371,9377) = 1
LCM(9371,9377) = ( 9371 × 9377) / 1
LCM(9371,9377) = 87871867 / 1
LCM(9371,9377) = 87871867

Properties of LCM 9371 and 9377

(i) The LCM of 9377 and 9371 is associative

LCM of 9371 and 9377 = LCM of 9377 and 9371

Frequently Asked Questions on LCM of 9371 and 9377

1. What is the LCM of 9371 and 9377?

Answer: LCM of 9371 and 9377 is 87871867.

2. 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.

3. What are the Factors of 9377?

Answer: Factors of 9377 are 1, 9377. There are 2 integers that are factors of 9377. The greatest factor of 9377 is 9377.

4. How to Find the LCM of 9371 and 9377?

Answer:

Least Common Multiple of 9371 and 9377 = 87871867

Step 1: Find the prime factorization of 9371

9371 = 9371

Step 2: Find the prime factorization of 9377

9377 = 9377

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

LCM = 87871867 = 9371 x 9377

Step 4: Therefore, the least common multiple of 9371 and 9377 is 87871867.