Least Common Multiple of 9293 and 9295

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 9295 the smallest integer that is 86378435 that is divisible by both numbers.

Least Common Multiple (LCM) of 9293 and 9295 is 86378435.

LCM(9293,9295) = 86378435

LCM of 9293 and 9295

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

LCM of:
and

Least Common Multiple of 9293 and 9295

LCM of 9293 and 9295 is 86378435

Least common multiple can be found by multiplying the highest exponent prime factors of 9293 and 9295. First we will calculate the prime factors of 9293 and 9295.

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 9295


5 9295
11 1859
13 169
13 13
1

Prime factors of 9295 are 5, 11,13. Prime factorization of 9295 in exponential form is:

9295 = 51×111×132

Now multiplying the highest exponent prime factors to calculate the LCM of 9293 and 9295.

LCM(9293,9295) = 51×111×132×92931
LCM(9293,9295) = 86378435

Factors of 9293

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

1, 9293

Factors of 9295

List of positive integer factors of 9295 that divides 9295 without a remainder.

1, 5, 11, 13, 55, 65, 143, 169, 715, 845, 1859, 9295

Least Common Multiple of 9293 and 9295 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 9295, than apply into the LCM equation.

GCF(9293,9295) = 1
LCM(9293,9295) = ( 9293 × 9295) / 1
LCM(9293,9295) = 86378435 / 1
LCM(9293,9295) = 86378435

Properties of LCM 9293 and 9295

(i) The LCM of 9295 and 9293 is associative

LCM of 9293 and 9295 = LCM of 9295 and 9293

Related Least Common Multiples of 9293

Related Least Common Multiples of 9295

Frequently Asked Questions on LCM of 9293 and 9295

1. What is the LCM of 9293 and 9295?

Answer: LCM of 9293 and 9295 is 86378435.

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 9295?

Answer: Factors of 9295 are 1, 5, 11, 13, 55, 65, 143, 169, 715, 845, 1859, 9295. There are 12 integers that are factors of 9295. The greatest factor of 9295 is 9295.

4. How to Find the LCM of 9293 and 9295?

Answer:

Least Common Multiple of 9293 and 9295 = 86378435

Step 1: Find the prime factorization of 9293

9293 = 9293

Step 2: Find the prime factorization of 9295

9295 = 5 x 11 x 13 x 13

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

LCM = 86378435 = 5 x 11 x 13 x 13 x 9293

Step 4: Therefore, the least common multiple of 9293 and 9295 is 86378435.