Least Common Multiple of 15188 and 15193

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 15193 the smallest integer that is 230751284 that is divisible by both numbers.

Least Common Multiple (LCM) of 15188 and 15193 is 230751284.

LCM(15188,15193) = 230751284

LCM of 15188 and 15193

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

LCM of:
and

Least Common Multiple of 15188 and 15193

LCM of 15188 and 15193 is 230751284

Least common multiple can be found by multiplying the highest exponent prime factors of 15188 and 15193. First we will calculate the prime factors of 15188 and 15193.

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 15193


15193 15193
1

Prime factors of 15193 are 15193. Prime factorization of 15193 in exponential form is:

15193 = 151931

Now multiplying the highest exponent prime factors to calculate the LCM of 15188 and 15193.

LCM(15188,15193) = 22×37971×151931
LCM(15188,15193) = 230751284

Factors of 15188

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

1, 2, 4, 3797, 7594, 15188

Factors of 15193

List of positive integer factors of 15193 that divides 15193 without a remainder.

1, 15193

Least Common Multiple of 15188 and 15193 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 15193, than apply into the LCM equation.

GCF(15188,15193) = 1
LCM(15188,15193) = ( 15188 × 15193) / 1
LCM(15188,15193) = 230751284 / 1
LCM(15188,15193) = 230751284

Properties of LCM 15188 and 15193

(i) The LCM of 15193 and 15188 is associative

LCM of 15188 and 15193 = LCM of 15193 and 15188

Related Least Common Multiples of 15188

Related Least Common Multiples of 15193

Frequently Asked Questions on LCM of 15188 and 15193

1. What is the LCM of 15188 and 15193?

Answer: LCM of 15188 and 15193 is 230751284.

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 15193?

Answer: Factors of 15193 are 1, 15193. There are 2 integers that are factors of 15193. The greatest factor of 15193 is 15193.

4. How to Find the LCM of 15188 and 15193?

Answer:

Least Common Multiple of 15188 and 15193 = 230751284

Step 1: Find the prime factorization of 15188

15188 = 2 x 2 x 3797

Step 2: Find the prime factorization of 15193

15193 = 15193

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

LCM = 230751284 = 2 x 2 x 3797 x 15193

Step 4: Therefore, the least common multiple of 15188 and 15193 is 230751284.