Least Common Multiple of 6195 and 6201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6195 and 6201 the smallest integer that is 12805065 that is divisible by both numbers.

Least Common Multiple (LCM) of 6195 and 6201 is 12805065.

LCM(6195,6201) = 12805065

LCM of 6195 and 6201

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

LCM of:
and

Least Common Multiple of 6195 and 6201

LCM of 6195 and 6201 is 12805065

Least common multiple can be found by multiplying the highest exponent prime factors of 6195 and 6201. First we will calculate the prime factors of 6195 and 6201.

Prime Factorization of 6195


3 6195
5 2065
7 413
59 59
1

Prime factors of 6195 are 3, 5, 7,59. Prime factorization of 6195 in exponential form is:

6195 = 31×51×71×591

Prime Factorization of 6201


3 6201
3 2067
13 689
53 53
1

Prime factors of 6201 are 3, 13,53. Prime factorization of 6201 in exponential form is:

6201 = 32×131×531

Now multiplying the highest exponent prime factors to calculate the LCM of 6195 and 6201.

LCM(6195,6201) = 32×51×71×131×531×591
LCM(6195,6201) = 12805065

Factors of 6195

List of positive integer factors of 6195 that divides 6195 without a remainder.

1, 3, 5, 7, 15, 21, 35, 59, 105, 177, 295, 413, 885, 1239, 2065, 6195

Factors of 6201

List of positive integer factors of 6201 that divides 6201 without a remainder.

1, 3, 9, 13, 39, 53, 117, 159, 477, 689, 2067, 6201

Least Common Multiple of 6195 and 6201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6195 and 6201, than apply into the LCM equation.

GCF(6195,6201) = 3
LCM(6195,6201) = ( 6195 × 6201) / 3
LCM(6195,6201) = 38415195 / 3
LCM(6195,6201) = 12805065

Properties of LCM 6195 and 6201

(i) The LCM of 6201 and 6195 is associative

LCM of 6195 and 6201 = LCM of 6201 and 6195

Related Least Common Multiples of 6195

Related Least Common Multiples of 6201

Frequently Asked Questions on LCM of 6195 and 6201

1. What is the LCM of 6195 and 6201?

Answer: LCM of 6195 and 6201 is 12805065.

2. What are the Factors of 6195?

Answer: Factors of 6195 are 1, 3, 5, 7, 15, 21, 35, 59, 105, 177, 295, 413, 885, 1239, 2065, 6195. There are 16 integers that are factors of 6195. The greatest factor of 6195 is 6195.

3. What are the Factors of 6201?

Answer: Factors of 6201 are 1, 3, 9, 13, 39, 53, 117, 159, 477, 689, 2067, 6201. There are 12 integers that are factors of 6201. The greatest factor of 6201 is 6201.

4. How to Find the LCM of 6195 and 6201?

Answer:

Least Common Multiple of 6195 and 6201 = 12805065

Step 1: Find the prime factorization of 6195

6195 = 3 x 5 x 7 x 59

Step 2: Find the prime factorization of 6201

6201 = 3 x 3 x 13 x 53

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

LCM = 12805065 = 3 x 3 x 5 x 7 x 13 x 53 x 59

Step 4: Therefore, the least common multiple of 6195 and 6201 is 12805065.