Least Common Multiple of 9299 and 9303

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 9303 the smallest integer that is 86508597 that is divisible by both numbers.

Least Common Multiple (LCM) of 9299 and 9303 is 86508597.

LCM(9299,9303) = 86508597

LCM of 9299 and 9303

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

LCM of:
and

Least Common Multiple of 9299 and 9303

LCM of 9299 and 9303 is 86508597

Least common multiple can be found by multiplying the highest exponent prime factors of 9299 and 9303. First we will calculate the prime factors of 9299 and 9303.

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 9303


3 9303
7 3101
443 443
1

Prime factors of 9303 are 3, 7,443. Prime factorization of 9303 in exponential form is:

9303 = 31×71×4431

Now multiplying the highest exponent prime factors to calculate the LCM of 9299 and 9303.

LCM(9299,9303) = 31×71×171×4431×5471
LCM(9299,9303) = 86508597

Factors of 9299

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

1, 17, 547, 9299

Factors of 9303

List of positive integer factors of 9303 that divides 9303 without a remainder.

1, 3, 7, 21, 443, 1329, 3101, 9303

Least Common Multiple of 9299 and 9303 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 9303, than apply into the LCM equation.

GCF(9299,9303) = 1
LCM(9299,9303) = ( 9299 × 9303) / 1
LCM(9299,9303) = 86508597 / 1
LCM(9299,9303) = 86508597

Properties of LCM 9299 and 9303

(i) The LCM of 9303 and 9299 is associative

LCM of 9299 and 9303 = LCM of 9303 and 9299

Related Least Common Multiples of 9299

Related Least Common Multiples of 9303

Frequently Asked Questions on LCM of 9299 and 9303

1. What is the LCM of 9299 and 9303?

Answer: LCM of 9299 and 9303 is 86508597.

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 9303?

Answer: Factors of 9303 are 1, 3, 7, 21, 443, 1329, 3101, 9303. There are 8 integers that are factors of 9303. The greatest factor of 9303 is 9303.

4. How to Find the LCM of 9299 and 9303?

Answer:

Least Common Multiple of 9299 and 9303 = 86508597

Step 1: Find the prime factorization of 9299

9299 = 17 x 547

Step 2: Find the prime factorization of 9303

9303 = 3 x 7 x 443

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

LCM = 86508597 = 3 x 7 x 17 x 443 x 547

Step 4: Therefore, the least common multiple of 9299 and 9303 is 86508597.