Least Common Multiple of 9293 and 9297

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 9297 the smallest integer that is 86397021 that is divisible by both numbers.

Least Common Multiple (LCM) of 9293 and 9297 is 86397021.

LCM(9293,9297) = 86397021

LCM of 9293 and 9297

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

LCM of:
and

Least Common Multiple of 9293 and 9297

LCM of 9293 and 9297 is 86397021

Least common multiple can be found by multiplying the highest exponent prime factors of 9293 and 9297. First we will calculate the prime factors of 9293 and 9297.

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 9297


3 9297
3 3099
1033 1033
1

Prime factors of 9297 are 3,1033. Prime factorization of 9297 in exponential form is:

9297 = 32×10331

Now multiplying the highest exponent prime factors to calculate the LCM of 9293 and 9297.

LCM(9293,9297) = 32×10331×92931
LCM(9293,9297) = 86397021

Factors of 9293

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

1, 9293

Factors of 9297

List of positive integer factors of 9297 that divides 9297 without a remainder.

1, 3, 9, 1033, 3099, 9297

Least Common Multiple of 9293 and 9297 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 9297, than apply into the LCM equation.

GCF(9293,9297) = 1
LCM(9293,9297) = ( 9293 × 9297) / 1
LCM(9293,9297) = 86397021 / 1
LCM(9293,9297) = 86397021

Properties of LCM 9293 and 9297

(i) The LCM of 9297 and 9293 is associative

LCM of 9293 and 9297 = LCM of 9297 and 9293

Related Least Common Multiples of 9293

Related Least Common Multiples of 9297

Frequently Asked Questions on LCM of 9293 and 9297

1. What is the LCM of 9293 and 9297?

Answer: LCM of 9293 and 9297 is 86397021.

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 9297?

Answer: Factors of 9297 are 1, 3, 9, 1033, 3099, 9297. There are 6 integers that are factors of 9297. The greatest factor of 9297 is 9297.

4. How to Find the LCM of 9293 and 9297?

Answer:

Least Common Multiple of 9293 and 9297 = 86397021

Step 1: Find the prime factorization of 9293

9293 = 9293

Step 2: Find the prime factorization of 9297

9297 = 3 x 3 x 1033

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

LCM = 86397021 = 3 x 3 x 1033 x 9293

Step 4: Therefore, the least common multiple of 9293 and 9297 is 86397021.