Least Common Multiple of 9304 and 9311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9304 and 9311 the smallest integer that is 86629544 that is divisible by both numbers.

Least Common Multiple (LCM) of 9304 and 9311 is 86629544.

LCM(9304,9311) = 86629544

LCM of 9304 and 9311

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

LCM of:
and

Least Common Multiple of 9304 and 9311

LCM of 9304 and 9311 is 86629544

Least common multiple can be found by multiplying the highest exponent prime factors of 9304 and 9311. First we will calculate the prime factors of 9304 and 9311.

Prime Factorization of 9304


2 9304
2 4652
2 2326
1163 1163
1

Prime factors of 9304 are 2,1163. Prime factorization of 9304 in exponential form is:

9304 = 23×11631

Prime Factorization of 9311


9311 9311
1

Prime factors of 9311 are 9311. Prime factorization of 9311 in exponential form is:

9311 = 93111

Now multiplying the highest exponent prime factors to calculate the LCM of 9304 and 9311.

LCM(9304,9311) = 23×11631×93111
LCM(9304,9311) = 86629544

Factors of 9304

List of positive integer factors of 9304 that divides 9304 without a remainder.

1, 2, 4, 8, 1163, 2326, 4652, 9304

Factors of 9311

List of positive integer factors of 9311 that divides 9311 without a remainder.

1, 9311

Least Common Multiple of 9304 and 9311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9304 and 9311, than apply into the LCM equation.

GCF(9304,9311) = 1
LCM(9304,9311) = ( 9304 × 9311) / 1
LCM(9304,9311) = 86629544 / 1
LCM(9304,9311) = 86629544

Properties of LCM 9304 and 9311

(i) The LCM of 9311 and 9304 is associative

LCM of 9304 and 9311 = LCM of 9311 and 9304

Related Least Common Multiples of 9304

Related Least Common Multiples of 9311

Frequently Asked Questions on LCM of 9304 and 9311

1. What is the LCM of 9304 and 9311?

Answer: LCM of 9304 and 9311 is 86629544.

2. What are the Factors of 9304?

Answer: Factors of 9304 are 1, 2, 4, 8, 1163, 2326, 4652, 9304. There are 8 integers that are factors of 9304. The greatest factor of 9304 is 9304.

3. What are the Factors of 9311?

Answer: Factors of 9311 are 1, 9311. There are 2 integers that are factors of 9311. The greatest factor of 9311 is 9311.

4. How to Find the LCM of 9304 and 9311?

Answer:

Least Common Multiple of 9304 and 9311 = 86629544

Step 1: Find the prime factorization of 9304

9304 = 2 x 2 x 2 x 1163

Step 2: Find the prime factorization of 9311

9311 = 9311

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

LCM = 86629544 = 2 x 2 x 2 x 1163 x 9311

Step 4: Therefore, the least common multiple of 9304 and 9311 is 86629544.