Least Common Multiple of 9299 and 9304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9299 and 9304 the smallest integer that is 86517896 that is divisible by both numbers.

Least Common Multiple (LCM) of 9299 and 9304 is 86517896.

LCM(9299,9304) = 86517896

LCM of 9299 and 9304

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

LCM of:
and

Least Common Multiple of 9299 and 9304

LCM of 9299 and 9304 is 86517896

Least common multiple can be found by multiplying the highest exponent prime factors of 9299 and 9304. First we will calculate the prime factors of 9299 and 9304.

Prime Factorization of 9299


17 9299
547 547
1

Prime factors of 9299 are 17,547. Prime factorization of 9299 in exponential form is:

9299 = 171×5471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9299 and 9304.

LCM(9299,9304) = 23×171×5471×11631
LCM(9299,9304) = 86517896

Factors of 9299

List of positive integer factors of 9299 that divides 9299 without a remainder.

1, 17, 547, 9299

Factors of 9304

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

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

Least Common Multiple of 9299 and 9304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9299 and 9304, than apply into the LCM equation.

GCF(9299,9304) = 1
LCM(9299,9304) = ( 9299 × 9304) / 1
LCM(9299,9304) = 86517896 / 1
LCM(9299,9304) = 86517896

Properties of LCM 9299 and 9304

(i) The LCM of 9304 and 9299 is associative

LCM of 9299 and 9304 = LCM of 9304 and 9299

Related Least Common Multiples of 9299

Related Least Common Multiples of 9304

Frequently Asked Questions on LCM of 9299 and 9304

1. What is the LCM of 9299 and 9304?

Answer: LCM of 9299 and 9304 is 86517896.

2. What are the Factors of 9299?

Answer: Factors of 9299 are 1, 17, 547, 9299. There are 4 integers that are factors of 9299. The greatest factor of 9299 is 9299.

3. 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.

4. How to Find the LCM of 9299 and 9304?

Answer:

Least Common Multiple of 9299 and 9304 = 86517896

Step 1: Find the prime factorization of 9299

9299 = 17 x 547

Step 2: Find the prime factorization of 9304

9304 = 2 x 2 x 2 x 1163

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

LCM = 86517896 = 2 x 2 x 2 x 17 x 547 x 1163

Step 4: Therefore, the least common multiple of 9299 and 9304 is 86517896.