Least Common Multiple of 9195 and 9199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9195 and 9199 the smallest integer that is 84584805 that is divisible by both numbers.

Least Common Multiple (LCM) of 9195 and 9199 is 84584805.

LCM(9195,9199) = 84584805

LCM of 9195 and 9199

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

LCM of:
and

Least Common Multiple of 9195 and 9199

LCM of 9195 and 9199 is 84584805

Least common multiple can be found by multiplying the highest exponent prime factors of 9195 and 9199. First we will calculate the prime factors of 9195 and 9199.

Prime Factorization of 9195


3 9195
5 3065
613 613
1

Prime factors of 9195 are 3, 5,613. Prime factorization of 9195 in exponential form is:

9195 = 31×51×6131

Prime Factorization of 9199


9199 9199
1

Prime factors of 9199 are 9199. Prime factorization of 9199 in exponential form is:

9199 = 91991

Now multiplying the highest exponent prime factors to calculate the LCM of 9195 and 9199.

LCM(9195,9199) = 31×51×6131×91991
LCM(9195,9199) = 84584805

Factors of 9195

List of positive integer factors of 9195 that divides 9195 without a remainder.

1, 3, 5, 15, 613, 1839, 3065, 9195

Factors of 9199

List of positive integer factors of 9199 that divides 9199 without a remainder.

1, 9199

Least Common Multiple of 9195 and 9199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9195 and 9199, than apply into the LCM equation.

GCF(9195,9199) = 1
LCM(9195,9199) = ( 9195 × 9199) / 1
LCM(9195,9199) = 84584805 / 1
LCM(9195,9199) = 84584805

Properties of LCM 9195 and 9199

(i) The LCM of 9199 and 9195 is associative

LCM of 9195 and 9199 = LCM of 9199 and 9195

Related Least Common Multiples of 9195

Related Least Common Multiples of 9199

Frequently Asked Questions on LCM of 9195 and 9199

1. What is the LCM of 9195 and 9199?

Answer: LCM of 9195 and 9199 is 84584805.

2. What are the Factors of 9195?

Answer: Factors of 9195 are 1, 3, 5, 15, 613, 1839, 3065, 9195. There are 8 integers that are factors of 9195. The greatest factor of 9195 is 9195.

3. What are the Factors of 9199?

Answer: Factors of 9199 are 1, 9199. There are 2 integers that are factors of 9199. The greatest factor of 9199 is 9199.

4. How to Find the LCM of 9195 and 9199?

Answer:

Least Common Multiple of 9195 and 9199 = 84584805

Step 1: Find the prime factorization of 9195

9195 = 3 x 5 x 613

Step 2: Find the prime factorization of 9199

9199 = 9199

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

LCM = 84584805 = 3 x 5 x 613 x 9199

Step 4: Therefore, the least common multiple of 9195 and 9199 is 84584805.