Least Common Multiple of 9195 and 9201

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 9201 the smallest integer that is 28201065 that is divisible by both numbers.

Least Common Multiple (LCM) of 9195 and 9201 is 28201065.

LCM(9195,9201) = 28201065

LCM of 9195 and 9201

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

LCM of:
and

Least Common Multiple of 9195 and 9201

LCM of 9195 and 9201 is 28201065

Least common multiple can be found by multiplying the highest exponent prime factors of 9195 and 9201. First we will calculate the prime factors of 9195 and 9201.

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 9201


3 9201
3067 3067
1

Prime factors of 9201 are 3,3067. Prime factorization of 9201 in exponential form is:

9201 = 31×30671

Now multiplying the highest exponent prime factors to calculate the LCM of 9195 and 9201.

LCM(9195,9201) = 31×51×6131×30671
LCM(9195,9201) = 28201065

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 9201

List of positive integer factors of 9201 that divides 9201 without a remainder.

1, 3, 3067, 9201

Least Common Multiple of 9195 and 9201 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 9201, than apply into the LCM equation.

GCF(9195,9201) = 3
LCM(9195,9201) = ( 9195 × 9201) / 3
LCM(9195,9201) = 84603195 / 3
LCM(9195,9201) = 28201065

Properties of LCM 9195 and 9201

(i) The LCM of 9201 and 9195 is associative

LCM of 9195 and 9201 = LCM of 9201 and 9195

Related Least Common Multiples of 9195

Related Least Common Multiples of 9201

Frequently Asked Questions on LCM of 9195 and 9201

1. What is the LCM of 9195 and 9201?

Answer: LCM of 9195 and 9201 is 28201065.

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 9201?

Answer: Factors of 9201 are 1, 3, 3067, 9201. There are 4 integers that are factors of 9201. The greatest factor of 9201 is 9201.

4. How to Find the LCM of 9195 and 9201?

Answer:

Least Common Multiple of 9195 and 9201 = 28201065

Step 1: Find the prime factorization of 9195

9195 = 3 x 5 x 613

Step 2: Find the prime factorization of 9201

9201 = 3 x 3067

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

LCM = 28201065 = 3 x 5 x 613 x 3067

Step 4: Therefore, the least common multiple of 9195 and 9201 is 28201065.