Least Common Multiple of 9293 and 9298

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 9298 the smallest integer that is 86406314 that is divisible by both numbers.

Least Common Multiple (LCM) of 9293 and 9298 is 86406314.

LCM(9293,9298) = 86406314

LCM of 9293 and 9298

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

LCM of:
and

Least Common Multiple of 9293 and 9298

LCM of 9293 and 9298 is 86406314

Least common multiple can be found by multiplying the highest exponent prime factors of 9293 and 9298. First we will calculate the prime factors of 9293 and 9298.

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 9298


2 9298
4649 4649
1

Prime factors of 9298 are 2,4649. Prime factorization of 9298 in exponential form is:

9298 = 21×46491

Now multiplying the highest exponent prime factors to calculate the LCM of 9293 and 9298.

LCM(9293,9298) = 21×46491×92931
LCM(9293,9298) = 86406314

Factors of 9293

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

1, 9293

Factors of 9298

List of positive integer factors of 9298 that divides 9298 without a remainder.

1, 2, 4649, 9298

Least Common Multiple of 9293 and 9298 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 9298, than apply into the LCM equation.

GCF(9293,9298) = 1
LCM(9293,9298) = ( 9293 × 9298) / 1
LCM(9293,9298) = 86406314 / 1
LCM(9293,9298) = 86406314

Properties of LCM 9293 and 9298

(i) The LCM of 9298 and 9293 is associative

LCM of 9293 and 9298 = LCM of 9298 and 9293

Frequently Asked Questions on LCM of 9293 and 9298

1. What is the LCM of 9293 and 9298?

Answer: LCM of 9293 and 9298 is 86406314.

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 9298?

Answer: Factors of 9298 are 1, 2, 4649, 9298. There are 4 integers that are factors of 9298. The greatest factor of 9298 is 9298.

4. How to Find the LCM of 9293 and 9298?

Answer:

Least Common Multiple of 9293 and 9298 = 86406314

Step 1: Find the prime factorization of 9293

9293 = 9293

Step 2: Find the prime factorization of 9298

9298 = 2 x 4649

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

LCM = 86406314 = 2 x 4649 x 9293

Step 4: Therefore, the least common multiple of 9293 and 9298 is 86406314.