Least Common Multiple of 9384 and 9391

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9384 and 9391 the smallest integer that is 88125144 that is divisible by both numbers.

Least Common Multiple (LCM) of 9384 and 9391 is 88125144.

LCM(9384,9391) = 88125144

LCM of 9384 and 9391

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

LCM of:
and

Least Common Multiple of 9384 and 9391

LCM of 9384 and 9391 is 88125144

Least common multiple can be found by multiplying the highest exponent prime factors of 9384 and 9391. First we will calculate the prime factors of 9384 and 9391.

Prime Factorization of 9384


2 9384
2 4692
2 2346
3 1173
17 391
23 23
1

Prime factors of 9384 are 2, 3, 17,23. Prime factorization of 9384 in exponential form is:

9384 = 23×31×171×231

Prime Factorization of 9391


9391 9391
1

Prime factors of 9391 are 9391. Prime factorization of 9391 in exponential form is:

9391 = 93911

Now multiplying the highest exponent prime factors to calculate the LCM of 9384 and 9391.

LCM(9384,9391) = 23×31×171×231×93911
LCM(9384,9391) = 88125144

Factors of 9384

List of positive integer factors of 9384 that divides 9384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 23, 24, 34, 46, 51, 68, 69, 92, 102, 136, 138, 184, 204, 276, 391, 408, 552, 782, 1173, 1564, 2346, 3128, 4692, 9384

Factors of 9391

List of positive integer factors of 9391 that divides 9391 without a remainder.

1, 9391

Least Common Multiple of 9384 and 9391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9384 and 9391, than apply into the LCM equation.

GCF(9384,9391) = 1
LCM(9384,9391) = ( 9384 × 9391) / 1
LCM(9384,9391) = 88125144 / 1
LCM(9384,9391) = 88125144

Properties of LCM 9384 and 9391

(i) The LCM of 9391 and 9384 is associative

LCM of 9384 and 9391 = LCM of 9391 and 9384

Related Least Common Multiples of 9384

Related Least Common Multiples of 9391

Frequently Asked Questions on LCM of 9384 and 9391

1. What is the LCM of 9384 and 9391?

Answer: LCM of 9384 and 9391 is 88125144.

2. What are the Factors of 9384?

Answer: Factors of 9384 are 1, 2, 3, 4, 6, 8, 12, 17, 23, 24, 34, 46, 51, 68, 69, 92, 102, 136, 138, 184, 204, 276, 391, 408, 552, 782, 1173, 1564, 2346, 3128, 4692, 9384. There are 32 integers that are factors of 9384. The greatest factor of 9384 is 9384.

3. What are the Factors of 9391?

Answer: Factors of 9391 are 1, 9391. There are 2 integers that are factors of 9391. The greatest factor of 9391 is 9391.

4. How to Find the LCM of 9384 and 9391?

Answer:

Least Common Multiple of 9384 and 9391 = 88125144

Step 1: Find the prime factorization of 9384

9384 = 2 x 2 x 2 x 3 x 17 x 23

Step 2: Find the prime factorization of 9391

9391 = 9391

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

LCM = 88125144 = 2 x 2 x 2 x 3 x 17 x 23 x 9391

Step 4: Therefore, the least common multiple of 9384 and 9391 is 88125144.