Least Common Multiple of 9285 and 9289

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 9289 the smallest integer that is 86248365 that is divisible by both numbers.

Least Common Multiple (LCM) of 9285 and 9289 is 86248365.

LCM(9285,9289) = 86248365

LCM of 9285 and 9289

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

LCM of:
and

Least Common Multiple of 9285 and 9289

LCM of 9285 and 9289 is 86248365

Least common multiple can be found by multiplying the highest exponent prime factors of 9285 and 9289. First we will calculate the prime factors of 9285 and 9289.

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 9289


7 9289
1327 1327
1

Prime factors of 9289 are 7,1327. Prime factorization of 9289 in exponential form is:

9289 = 71×13271

Now multiplying the highest exponent prime factors to calculate the LCM of 9285 and 9289.

LCM(9285,9289) = 31×51×71×6191×13271
LCM(9285,9289) = 86248365

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 9289

List of positive integer factors of 9289 that divides 9289 without a remainder.

1, 7, 1327, 9289

Least Common Multiple of 9285 and 9289 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 9289, than apply into the LCM equation.

GCF(9285,9289) = 1
LCM(9285,9289) = ( 9285 × 9289) / 1
LCM(9285,9289) = 86248365 / 1
LCM(9285,9289) = 86248365

Properties of LCM 9285 and 9289

(i) The LCM of 9289 and 9285 is associative

LCM of 9285 and 9289 = LCM of 9289 and 9285

Related Least Common Multiples of 9285

Related Least Common Multiples of 9289

Frequently Asked Questions on LCM of 9285 and 9289

1. What is the LCM of 9285 and 9289?

Answer: LCM of 9285 and 9289 is 86248365.

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 9289?

Answer: Factors of 9289 are 1, 7, 1327, 9289. There are 4 integers that are factors of 9289. The greatest factor of 9289 is 9289.

4. How to Find the LCM of 9285 and 9289?

Answer:

Least Common Multiple of 9285 and 9289 = 86248365

Step 1: Find the prime factorization of 9285

9285 = 3 x 5 x 619

Step 2: Find the prime factorization of 9289

9289 = 7 x 1327

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

LCM = 86248365 = 3 x 5 x 7 x 619 x 1327

Step 4: Therefore, the least common multiple of 9285 and 9289 is 86248365.