Least Common Multiple of 9285 and 9293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9285 and 9293 the smallest integer that is 86285505 that is divisible by both numbers.

Least Common Multiple (LCM) of 9285 and 9293 is 86285505.

LCM(9285,9293) = 86285505

LCM of 9285 and 9293

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

LCM of:
and

Least Common Multiple of 9285 and 9293

LCM of 9285 and 9293 is 86285505

Least common multiple can be found by multiplying the highest exponent prime factors of 9285 and 9293. First we will calculate the prime factors of 9285 and 9293.

Prime Factorization of 9285


3 9285
5 3095
619 619
1

Prime factors of 9285 are 3, 5,619. Prime factorization of 9285 in exponential form is:

9285 = 31×51×6191

Prime Factorization of 9293


9293 9293
1

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

9293 = 92931

Now multiplying the highest exponent prime factors to calculate the LCM of 9285 and 9293.

LCM(9285,9293) = 31×51×6191×92931
LCM(9285,9293) = 86285505

Factors of 9285

List of positive integer factors of 9285 that divides 9285 without a remainder.

1, 3, 5, 15, 619, 1857, 3095, 9285

Factors of 9293

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

1, 9293

Least Common Multiple of 9285 and 9293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9285 and 9293, than apply into the LCM equation.

GCF(9285,9293) = 1
LCM(9285,9293) = ( 9285 × 9293) / 1
LCM(9285,9293) = 86285505 / 1
LCM(9285,9293) = 86285505

Properties of LCM 9285 and 9293

(i) The LCM of 9293 and 9285 is associative

LCM of 9285 and 9293 = LCM of 9293 and 9285

Related Least Common Multiples of 9285

Related Least Common Multiples of 9293

Frequently Asked Questions on LCM of 9285 and 9293

1. What is the LCM of 9285 and 9293?

Answer: LCM of 9285 and 9293 is 86285505.

2. What are the Factors of 9285?

Answer: Factors of 9285 are 1, 3, 5, 15, 619, 1857, 3095, 9285. There are 8 integers that are factors of 9285. The greatest factor of 9285 is 9285.

3. 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.

4. How to Find the LCM of 9285 and 9293?

Answer:

Least Common Multiple of 9285 and 9293 = 86285505

Step 1: Find the prime factorization of 9285

9285 = 3 x 5 x 619

Step 2: Find the prime factorization of 9293

9293 = 9293

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

LCM = 86285505 = 3 x 5 x 619 x 9293

Step 4: Therefore, the least common multiple of 9285 and 9293 is 86285505.