Least Common Multiple of 9099 and 9107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9099 and 9107 the smallest integer that is 82864593 that is divisible by both numbers.

Least Common Multiple (LCM) of 9099 and 9107 is 82864593.

LCM(9099,9107) = 82864593

LCM of 9099 and 9107

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

LCM of:
and

Least Common Multiple of 9099 and 9107

LCM of 9099 and 9107 is 82864593

Least common multiple can be found by multiplying the highest exponent prime factors of 9099 and 9107. First we will calculate the prime factors of 9099 and 9107.

Prime Factorization of 9099


3 9099
3 3033
3 1011
337 337
1

Prime factors of 9099 are 3,337. Prime factorization of 9099 in exponential form is:

9099 = 33×3371

Prime Factorization of 9107


7 9107
1301 1301
1

Prime factors of 9107 are 7,1301. Prime factorization of 9107 in exponential form is:

9107 = 71×13011

Now multiplying the highest exponent prime factors to calculate the LCM of 9099 and 9107.

LCM(9099,9107) = 33×71×3371×13011
LCM(9099,9107) = 82864593

Factors of 9099

List of positive integer factors of 9099 that divides 9099 without a remainder.

1, 3, 9, 27, 337, 1011, 3033, 9099

Factors of 9107

List of positive integer factors of 9107 that divides 9107 without a remainder.

1, 7, 1301, 9107

Least Common Multiple of 9099 and 9107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9099 and 9107, than apply into the LCM equation.

GCF(9099,9107) = 1
LCM(9099,9107) = ( 9099 × 9107) / 1
LCM(9099,9107) = 82864593 / 1
LCM(9099,9107) = 82864593

Properties of LCM 9099 and 9107

(i) The LCM of 9107 and 9099 is associative

LCM of 9099 and 9107 = LCM of 9107 and 9099

Related Least Common Multiples of 9099

Related Least Common Multiples of 9107

Frequently Asked Questions on LCM of 9099 and 9107

1. What is the LCM of 9099 and 9107?

Answer: LCM of 9099 and 9107 is 82864593.

2. What are the Factors of 9099?

Answer: Factors of 9099 are 1, 3, 9, 27, 337, 1011, 3033, 9099. There are 8 integers that are factors of 9099. The greatest factor of 9099 is 9099.

3. What are the Factors of 9107?

Answer: Factors of 9107 are 1, 7, 1301, 9107. There are 4 integers that are factors of 9107. The greatest factor of 9107 is 9107.

4. How to Find the LCM of 9099 and 9107?

Answer:

Least Common Multiple of 9099 and 9107 = 82864593

Step 1: Find the prime factorization of 9099

9099 = 3 x 3 x 3 x 337

Step 2: Find the prime factorization of 9107

9107 = 7 x 1301

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

LCM = 82864593 = 3 x 3 x 3 x 7 x 337 x 1301

Step 4: Therefore, the least common multiple of 9099 and 9107 is 82864593.