Least Common Multiple of 6195 and 6203

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 6203 the smallest integer that is 38427585 that is divisible by both numbers.

Least Common Multiple (LCM) of 6195 and 6203 is 38427585.

LCM(6195,6203) = 38427585

LCM of 6195 and 6203

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

LCM of:
and

Least Common Multiple of 6195 and 6203

LCM of 6195 and 6203 is 38427585

Least common multiple can be found by multiplying the highest exponent prime factors of 6195 and 6203. First we will calculate the prime factors of 6195 and 6203.

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 6203


6203 6203
1

Prime factors of 6203 are 6203. Prime factorization of 6203 in exponential form is:

6203 = 62031

Now multiplying the highest exponent prime factors to calculate the LCM of 6195 and 6203.

LCM(6195,6203) = 31×51×71×591×62031
LCM(6195,6203) = 38427585

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 6203

List of positive integer factors of 6203 that divides 6203 without a remainder.

1, 6203

Least Common Multiple of 6195 and 6203 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 6203, than apply into the LCM equation.

GCF(6195,6203) = 1
LCM(6195,6203) = ( 6195 × 6203) / 1
LCM(6195,6203) = 38427585 / 1
LCM(6195,6203) = 38427585

Properties of LCM 6195 and 6203

(i) The LCM of 6203 and 6195 is associative

LCM of 6195 and 6203 = LCM of 6203 and 6195

Related Least Common Multiples of 6195

Related Least Common Multiples of 6203

Frequently Asked Questions on LCM of 6195 and 6203

1. What is the LCM of 6195 and 6203?

Answer: LCM of 6195 and 6203 is 38427585.

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 6203?

Answer: Factors of 6203 are 1, 6203. There are 2 integers that are factors of 6203. The greatest factor of 6203 is 6203.

4. How to Find the LCM of 6195 and 6203?

Answer:

Least Common Multiple of 6195 and 6203 = 38427585

Step 1: Find the prime factorization of 6195

6195 = 3 x 5 x 7 x 59

Step 2: Find the prime factorization of 6203

6203 = 6203

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

LCM = 38427585 = 3 x 5 x 7 x 59 x 6203

Step 4: Therefore, the least common multiple of 6195 and 6203 is 38427585.