Least Common Multiple of 9371 and 9378

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 9378 the smallest integer that is 87881238 that is divisible by both numbers.

Least Common Multiple (LCM) of 9371 and 9378 is 87881238.

LCM(9371,9378) = 87881238

LCM of 9371 and 9378

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

LCM of:
and

Least Common Multiple of 9371 and 9378

LCM of 9371 and 9378 is 87881238

Least common multiple can be found by multiplying the highest exponent prime factors of 9371 and 9378. First we will calculate the prime factors of 9371 and 9378.

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 9378


2 9378
3 4689
3 1563
521 521
1

Prime factors of 9378 are 2, 3,521. Prime factorization of 9378 in exponential form is:

9378 = 21×32×5211

Now multiplying the highest exponent prime factors to calculate the LCM of 9371 and 9378.

LCM(9371,9378) = 21×32×5211×93711
LCM(9371,9378) = 87881238

Factors of 9371

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

1, 9371

Factors of 9378

List of positive integer factors of 9378 that divides 9378 without a remainder.

1, 2, 3, 6, 9, 18, 521, 1042, 1563, 3126, 4689, 9378

Least Common Multiple of 9371 and 9378 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 9378, than apply into the LCM equation.

GCF(9371,9378) = 1
LCM(9371,9378) = ( 9371 × 9378) / 1
LCM(9371,9378) = 87881238 / 1
LCM(9371,9378) = 87881238

Properties of LCM 9371 and 9378

(i) The LCM of 9378 and 9371 is associative

LCM of 9371 and 9378 = LCM of 9378 and 9371

Related Least Common Multiples of 9371

Related Least Common Multiples of 9378

Frequently Asked Questions on LCM of 9371 and 9378

1. What is the LCM of 9371 and 9378?

Answer: LCM of 9371 and 9378 is 87881238.

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 9378?

Answer: Factors of 9378 are 1, 2, 3, 6, 9, 18, 521, 1042, 1563, 3126, 4689, 9378. There are 12 integers that are factors of 9378. The greatest factor of 9378 is 9378.

4. How to Find the LCM of 9371 and 9378?

Answer:

Least Common Multiple of 9371 and 9378 = 87881238

Step 1: Find the prime factorization of 9371

9371 = 9371

Step 2: Find the prime factorization of 9378

9378 = 2 x 3 x 3 x 521

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

LCM = 87881238 = 2 x 3 x 3 x 521 x 9371

Step 4: Therefore, the least common multiple of 9371 and 9378 is 87881238.