Least Common Multiple of 9382 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 9382 and 9387 the smallest integer that is 88068834 that is divisible by both numbers.

Least Common Multiple (LCM) of 9382 and 9387 is 88068834.

LCM(9382,9387) = 88068834

LCM of 9382 and 9387

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

LCM of:
and

Least Common Multiple of 9382 and 9387

LCM of 9382 and 9387 is 88068834

Least common multiple can be found by multiplying the highest exponent prime factors of 9382 and 9387. First we will calculate the prime factors of 9382 and 9387.

Prime Factorization of 9382


2 9382
4691 4691
1

Prime factors of 9382 are 2,4691. Prime factorization of 9382 in exponential form is:

9382 = 21×46911

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 9382 and 9387.

LCM(9382,9387) = 21×32×71×1491×46911
LCM(9382,9387) = 88068834

Factors of 9382

List of positive integer factors of 9382 that divides 9382 without a remainder.

1, 2, 4691, 9382

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 9382 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 9382 and 9387, than apply into the LCM equation.

GCF(9382,9387) = 1
LCM(9382,9387) = ( 9382 × 9387) / 1
LCM(9382,9387) = 88068834 / 1
LCM(9382,9387) = 88068834

Properties of LCM 9382 and 9387

(i) The LCM of 9387 and 9382 is associative

LCM of 9382 and 9387 = LCM of 9387 and 9382

Related Least Common Multiples of 9382

Related Least Common Multiples of 9387

Frequently Asked Questions on LCM of 9382 and 9387

1. What is the LCM of 9382 and 9387?

Answer: LCM of 9382 and 9387 is 88068834.

2. What are the Factors of 9382?

Answer: Factors of 9382 are 1, 2, 4691, 9382. There are 4 integers that are factors of 9382. The greatest factor of 9382 is 9382.

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 9382 and 9387?

Answer:

Least Common Multiple of 9382 and 9387 = 88068834

Step 1: Find the prime factorization of 9382

9382 = 2 x 4691

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 = 88068834 = 2 x 3 x 3 x 7 x 149 x 4691

Step 4: Therefore, the least common multiple of 9382 and 9387 is 88068834.