Least Common Multiple of 9381 and 9387

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 9387 the smallest integer that is 29353149 that is divisible by both numbers.

Least Common Multiple (LCM) of 9381 and 9387 is 29353149.

LCM(9381,9387) = 29353149

LCM of 9381 and 9387

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

LCM of:
and

Least Common Multiple of 9381 and 9387

LCM of 9381 and 9387 is 29353149

Least common multiple can be found by multiplying the highest exponent prime factors of 9381 and 9387. First we will calculate the prime factors of 9381 and 9387.

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 9387


3 9387
3 3129
7 1043
149 149
1

Prime factors of 9387 are 3, 7,149. Prime factorization of 9387 in exponential form is:

9387 = 32×71×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 9381 and 9387.

LCM(9381,9387) = 32×71×531×591×1491
LCM(9381,9387) = 29353149

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 9387

List of positive integer factors of 9387 that divides 9387 without a remainder.

1, 3, 7, 9, 21, 63, 149, 447, 1043, 1341, 3129, 9387

Least Common Multiple of 9381 and 9387 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 9387, than apply into the LCM equation.

GCF(9381,9387) = 3
LCM(9381,9387) = ( 9381 × 9387) / 3
LCM(9381,9387) = 88059447 / 3
LCM(9381,9387) = 29353149

Properties of LCM 9381 and 9387

(i) The LCM of 9387 and 9381 is associative

LCM of 9381 and 9387 = LCM of 9387 and 9381

Related Least Common Multiples of 9381

Related Least Common Multiples of 9387

Frequently Asked Questions on LCM of 9381 and 9387

1. What is the LCM of 9381 and 9387?

Answer: LCM of 9381 and 9387 is 29353149.

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 9387?

Answer: Factors of 9387 are 1, 3, 7, 9, 21, 63, 149, 447, 1043, 1341, 3129, 9387. There are 12 integers that are factors of 9387. The greatest factor of 9387 is 9387.

4. How to Find the LCM of 9381 and 9387?

Answer:

Least Common Multiple of 9381 and 9387 = 29353149

Step 1: Find the prime factorization of 9381

9381 = 3 x 53 x 59

Step 2: Find the prime factorization of 9387

9387 = 3 x 3 x 7 x 149

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

LCM = 29353149 = 3 x 3 x 7 x 53 x 59 x 149

Step 4: Therefore, the least common multiple of 9381 and 9387 is 29353149.