Least Common Multiple of 6188 and 6195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6188 and 6195 the smallest integer that is 5476380 that is divisible by both numbers.

Least Common Multiple (LCM) of 6188 and 6195 is 5476380.

LCM(6188,6195) = 5476380

LCM of 6188 and 6195

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

LCM of:
and

Least Common Multiple of 6188 and 6195

LCM of 6188 and 6195 is 5476380

Least common multiple can be found by multiplying the highest exponent prime factors of 6188 and 6195. First we will calculate the prime factors of 6188 and 6195.

Prime Factorization of 6188


2 6188
2 3094
7 1547
13 221
17 17
1

Prime factors of 6188 are 2, 7, 13,17. Prime factorization of 6188 in exponential form is:

6188 = 22×71×131×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6188 and 6195.

LCM(6188,6195) = 22×31×51×71×131×171×591
LCM(6188,6195) = 5476380

Factors of 6188

List of positive integer factors of 6188 that divides 6188 without a remainder.

1, 2, 4, 7, 13, 14, 17, 26, 28, 34, 52, 68, 91, 119, 182, 221, 238, 364, 442, 476, 884, 1547, 3094, 6188

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

Least Common Multiple of 6188 and 6195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6188 and 6195, than apply into the LCM equation.

GCF(6188,6195) = 7
LCM(6188,6195) = ( 6188 × 6195) / 7
LCM(6188,6195) = 38334660 / 7
LCM(6188,6195) = 5476380

Properties of LCM 6188 and 6195

(i) The LCM of 6195 and 6188 is associative

LCM of 6188 and 6195 = LCM of 6195 and 6188

Related Least Common Multiples of 6188

Related Least Common Multiples of 6195

Frequently Asked Questions on LCM of 6188 and 6195

1. What is the LCM of 6188 and 6195?

Answer: LCM of 6188 and 6195 is 5476380.

2. What are the Factors of 6188?

Answer: Factors of 6188 are 1, 2, 4, 7, 13, 14, 17, 26, 28, 34, 52, 68, 91, 119, 182, 221, 238, 364, 442, 476, 884, 1547, 3094, 6188. There are 24 integers that are factors of 6188. The greatest factor of 6188 is 6188.

3. 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.

4. How to Find the LCM of 6188 and 6195?

Answer:

Least Common Multiple of 6188 and 6195 = 5476380

Step 1: Find the prime factorization of 6188

6188 = 2 x 2 x 7 x 13 x 17

Step 2: Find the prime factorization of 6195

6195 = 3 x 5 x 7 x 59

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

LCM = 5476380 = 2 x 2 x 3 x 5 x 7 x 13 x 17 x 59

Step 4: Therefore, the least common multiple of 6188 and 6195 is 5476380.