Least Common Multiple of 15188 and 15195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15188 and 15195 the smallest integer that is 230781660 that is divisible by both numbers.

Least Common Multiple (LCM) of 15188 and 15195 is 230781660.

LCM(15188,15195) = 230781660

LCM of 15188 and 15195

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

LCM of:
and

Least Common Multiple of 15188 and 15195

LCM of 15188 and 15195 is 230781660

Least common multiple can be found by multiplying the highest exponent prime factors of 15188 and 15195. First we will calculate the prime factors of 15188 and 15195.

Prime Factorization of 15188


2 15188
2 7594
3797 3797
1

Prime factors of 15188 are 2,3797. Prime factorization of 15188 in exponential form is:

15188 = 22×37971

Prime Factorization of 15195


3 15195
5 5065
1013 1013
1

Prime factors of 15195 are 3, 5,1013. Prime factorization of 15195 in exponential form is:

15195 = 31×51×10131

Now multiplying the highest exponent prime factors to calculate the LCM of 15188 and 15195.

LCM(15188,15195) = 22×31×51×10131×37971
LCM(15188,15195) = 230781660

Factors of 15188

List of positive integer factors of 15188 that divides 15188 without a remainder.

1, 2, 4, 3797, 7594, 15188

Factors of 15195

List of positive integer factors of 15195 that divides 15195 without a remainder.

1, 3, 5, 15, 1013, 3039, 5065, 15195

Least Common Multiple of 15188 and 15195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15188 and 15195, than apply into the LCM equation.

GCF(15188,15195) = 1
LCM(15188,15195) = ( 15188 × 15195) / 1
LCM(15188,15195) = 230781660 / 1
LCM(15188,15195) = 230781660

Properties of LCM 15188 and 15195

(i) The LCM of 15195 and 15188 is associative

LCM of 15188 and 15195 = LCM of 15195 and 15188

Related Least Common Multiples of 15188

Related Least Common Multiples of 15195

Frequently Asked Questions on LCM of 15188 and 15195

1. What is the LCM of 15188 and 15195?

Answer: LCM of 15188 and 15195 is 230781660.

2. What are the Factors of 15188?

Answer: Factors of 15188 are 1, 2, 4, 3797, 7594, 15188. There are 6 integers that are factors of 15188. The greatest factor of 15188 is 15188.

3. What are the Factors of 15195?

Answer: Factors of 15195 are 1, 3, 5, 15, 1013, 3039, 5065, 15195. There are 8 integers that are factors of 15195. The greatest factor of 15195 is 15195.

4. How to Find the LCM of 15188 and 15195?

Answer:

Least Common Multiple of 15188 and 15195 = 230781660

Step 1: Find the prime factorization of 15188

15188 = 2 x 2 x 3797

Step 2: Find the prime factorization of 15195

15195 = 3 x 5 x 1013

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

LCM = 230781660 = 2 x 2 x 3 x 5 x 1013 x 3797

Step 4: Therefore, the least common multiple of 15188 and 15195 is 230781660.