Least Common Multiple of 9095 and 9099

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9095 and 9099 the smallest integer that is 82755405 that is divisible by both numbers.

Least Common Multiple (LCM) of 9095 and 9099 is 82755405.

LCM(9095,9099) = 82755405

LCM of 9095 and 9099

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

LCM of:
and

Least Common Multiple of 9095 and 9099

LCM of 9095 and 9099 is 82755405

Least common multiple can be found by multiplying the highest exponent prime factors of 9095 and 9099. First we will calculate the prime factors of 9095 and 9099.

Prime Factorization of 9095


5 9095
17 1819
107 107
1

Prime factors of 9095 are 5, 17,107. Prime factorization of 9095 in exponential form is:

9095 = 51×171×1071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9095 and 9099.

LCM(9095,9099) = 33×51×171×1071×3371
LCM(9095,9099) = 82755405

Factors of 9095

List of positive integer factors of 9095 that divides 9095 without a remainder.

1, 5, 17, 85, 107, 535, 1819, 9095

Factors of 9099

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

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

Least Common Multiple of 9095 and 9099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9095 and 9099, than apply into the LCM equation.

GCF(9095,9099) = 1
LCM(9095,9099) = ( 9095 × 9099) / 1
LCM(9095,9099) = 82755405 / 1
LCM(9095,9099) = 82755405

Properties of LCM 9095 and 9099

(i) The LCM of 9099 and 9095 is associative

LCM of 9095 and 9099 = LCM of 9099 and 9095

Related Least Common Multiples of 9095

Related Least Common Multiples of 9099

Frequently Asked Questions on LCM of 9095 and 9099

1. What is the LCM of 9095 and 9099?

Answer: LCM of 9095 and 9099 is 82755405.

2. What are the Factors of 9095?

Answer: Factors of 9095 are 1, 5, 17, 85, 107, 535, 1819, 9095. There are 8 integers that are factors of 9095. The greatest factor of 9095 is 9095.

3. 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.

4. How to Find the LCM of 9095 and 9099?

Answer:

Least Common Multiple of 9095 and 9099 = 82755405

Step 1: Find the prime factorization of 9095

9095 = 5 x 17 x 107

Step 2: Find the prime factorization of 9099

9099 = 3 x 3 x 3 x 337

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

LCM = 82755405 = 3 x 3 x 3 x 5 x 17 x 107 x 337

Step 4: Therefore, the least common multiple of 9095 and 9099 is 82755405.