Least Common Multiple of 9293 and 9299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9293 and 9299 the smallest integer that is 86415607 that is divisible by both numbers.

Least Common Multiple (LCM) of 9293 and 9299 is 86415607.

LCM(9293,9299) = 86415607

LCM of 9293 and 9299

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

LCM of:
and

Least Common Multiple of 9293 and 9299

LCM of 9293 and 9299 is 86415607

Least common multiple can be found by multiplying the highest exponent prime factors of 9293 and 9299. First we will calculate the prime factors of 9293 and 9299.

Prime Factorization of 9293


9293 9293
1

Prime factors of 9293 are 9293. Prime factorization of 9293 in exponential form is:

9293 = 92931

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9293 and 9299.

LCM(9293,9299) = 171×5471×92931
LCM(9293,9299) = 86415607

Factors of 9293

List of positive integer factors of 9293 that divides 9293 without a remainder.

1, 9293

Factors of 9299

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

1, 17, 547, 9299

Least Common Multiple of 9293 and 9299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9293 and 9299, than apply into the LCM equation.

GCF(9293,9299) = 1
LCM(9293,9299) = ( 9293 × 9299) / 1
LCM(9293,9299) = 86415607 / 1
LCM(9293,9299) = 86415607

Properties of LCM 9293 and 9299

(i) The LCM of 9299 and 9293 is associative

LCM of 9293 and 9299 = LCM of 9299 and 9293

Related Least Common Multiples of 9293

Related Least Common Multiples of 9299

Frequently Asked Questions on LCM of 9293 and 9299

1. What is the LCM of 9293 and 9299?

Answer: LCM of 9293 and 9299 is 86415607.

2. What are the Factors of 9293?

Answer: Factors of 9293 are 1, 9293. There are 2 integers that are factors of 9293. The greatest factor of 9293 is 9293.

3. 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.

4. How to Find the LCM of 9293 and 9299?

Answer:

Least Common Multiple of 9293 and 9299 = 86415607

Step 1: Find the prime factorization of 9293

9293 = 9293

Step 2: Find the prime factorization of 9299

9299 = 17 x 547

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

LCM = 86415607 = 17 x 547 x 9293

Step 4: Therefore, the least common multiple of 9293 and 9299 is 86415607.