Least Common Multiple of 9381 and 9386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9381 and 9386 the smallest integer that is 88050066 that is divisible by both numbers.

Least Common Multiple (LCM) of 9381 and 9386 is 88050066.

LCM(9381,9386) = 88050066

LCM of 9381 and 9386

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

LCM of:
and

Least Common Multiple of 9381 and 9386

LCM of 9381 and 9386 is 88050066

Least common multiple can be found by multiplying the highest exponent prime factors of 9381 and 9386. First we will calculate the prime factors of 9381 and 9386.

Prime Factorization of 9381


3 9381
53 3127
59 59
1

Prime factors of 9381 are 3, 53,59. Prime factorization of 9381 in exponential form is:

9381 = 31×531×591

Prime Factorization of 9386


2 9386
13 4693
19 361
19 19
1

Prime factors of 9386 are 2, 13,19. Prime factorization of 9386 in exponential form is:

9386 = 21×131×192

Now multiplying the highest exponent prime factors to calculate the LCM of 9381 and 9386.

LCM(9381,9386) = 21×31×131×192×531×591
LCM(9381,9386) = 88050066

Factors of 9381

List of positive integer factors of 9381 that divides 9381 without a remainder.

1, 3, 53, 59, 159, 177, 3127, 9381

Factors of 9386

List of positive integer factors of 9386 that divides 9386 without a remainder.

1, 2, 13, 19, 26, 38, 247, 361, 494, 722, 4693, 9386

Least Common Multiple of 9381 and 9386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9381 and 9386, than apply into the LCM equation.

GCF(9381,9386) = 1
LCM(9381,9386) = ( 9381 × 9386) / 1
LCM(9381,9386) = 88050066 / 1
LCM(9381,9386) = 88050066

Properties of LCM 9381 and 9386

(i) The LCM of 9386 and 9381 is associative

LCM of 9381 and 9386 = LCM of 9386 and 9381

Related Least Common Multiples of 9381

Related Least Common Multiples of 9386

Frequently Asked Questions on LCM of 9381 and 9386

1. What is the LCM of 9381 and 9386?

Answer: LCM of 9381 and 9386 is 88050066.

2. What are the Factors of 9381?

Answer: Factors of 9381 are 1, 3, 53, 59, 159, 177, 3127, 9381. There are 8 integers that are factors of 9381. The greatest factor of 9381 is 9381.

3. What are the Factors of 9386?

Answer: Factors of 9386 are 1, 2, 13, 19, 26, 38, 247, 361, 494, 722, 4693, 9386. There are 12 integers that are factors of 9386. The greatest factor of 9386 is 9386.

4. How to Find the LCM of 9381 and 9386?

Answer:

Least Common Multiple of 9381 and 9386 = 88050066

Step 1: Find the prime factorization of 9381

9381 = 3 x 53 x 59

Step 2: Find the prime factorization of 9386

9386 = 2 x 13 x 19 x 19

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

LCM = 88050066 = 2 x 3 x 13 x 19 x 19 x 53 x 59

Step 4: Therefore, the least common multiple of 9381 and 9386 is 88050066.