Least Common Multiple of 3188 and 3195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3188 and 3195 the smallest integer that is 10185660 that is divisible by both numbers.

Least Common Multiple (LCM) of 3188 and 3195 is 10185660.

LCM(3188,3195) = 10185660

LCM of 3188 and 3195

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

LCM of:
and

Least Common Multiple of 3188 and 3195

LCM of 3188 and 3195 is 10185660

Least common multiple can be found by multiplying the highest exponent prime factors of 3188 and 3195. First we will calculate the prime factors of 3188 and 3195.

Prime Factorization of 3188


2 3188
2 1594
797 797
1

Prime factors of 3188 are 2,797. Prime factorization of 3188 in exponential form is:

3188 = 22×7971

Prime Factorization of 3195


3 3195
3 1065
5 355
71 71
1

Prime factors of 3195 are 3, 5,71. Prime factorization of 3195 in exponential form is:

3195 = 32×51×711

Now multiplying the highest exponent prime factors to calculate the LCM of 3188 and 3195.

LCM(3188,3195) = 22×32×51×711×7971
LCM(3188,3195) = 10185660

Factors of 3188

List of positive integer factors of 3188 that divides 3188 without a remainder.

1, 2, 4, 797, 1594, 3188

Factors of 3195

List of positive integer factors of 3195 that divides 3195 without a remainder.

1, 3, 5, 9, 15, 45, 71, 213, 355, 639, 1065, 3195

Least Common Multiple of 3188 and 3195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3188 and 3195, than apply into the LCM equation.

GCF(3188,3195) = 1
LCM(3188,3195) = ( 3188 × 3195) / 1
LCM(3188,3195) = 10185660 / 1
LCM(3188,3195) = 10185660

Properties of LCM 3188 and 3195

(i) The LCM of 3195 and 3188 is associative

LCM of 3188 and 3195 = LCM of 3195 and 3188

Related Least Common Multiples of 3188

Related Least Common Multiples of 3195

Frequently Asked Questions on LCM of 3188 and 3195

1. What is the LCM of 3188 and 3195?

Answer: LCM of 3188 and 3195 is 10185660.

2. What are the Factors of 3188?

Answer: Factors of 3188 are 1, 2, 4, 797, 1594, 3188. There are 6 integers that are factors of 3188. The greatest factor of 3188 is 3188.

3. What are the Factors of 3195?

Answer: Factors of 3195 are 1, 3, 5, 9, 15, 45, 71, 213, 355, 639, 1065, 3195. There are 12 integers that are factors of 3195. The greatest factor of 3195 is 3195.

4. How to Find the LCM of 3188 and 3195?

Answer:

Least Common Multiple of 3188 and 3195 = 10185660

Step 1: Find the prime factorization of 3188

3188 = 2 x 2 x 797

Step 2: Find the prime factorization of 3195

3195 = 3 x 3 x 5 x 71

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

LCM = 10185660 = 2 x 2 x 3 x 3 x 5 x 71 x 797

Step 4: Therefore, the least common multiple of 3188 and 3195 is 10185660.