Least Common Multiple of 15181 and 15188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15181 and 15188 the smallest integer that is 230569028 that is divisible by both numbers.

Least Common Multiple (LCM) of 15181 and 15188 is 230569028.

LCM(15181,15188) = 230569028

LCM of 15181 and 15188

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

LCM of:
and

Least Common Multiple of 15181 and 15188

LCM of 15181 and 15188 is 230569028

Least common multiple can be found by multiplying the highest exponent prime factors of 15181 and 15188. First we will calculate the prime factors of 15181 and 15188.

Prime Factorization of 15181


17 15181
19 893
47 47
1

Prime factors of 15181 are 17, 19,47. Prime factorization of 15181 in exponential form is:

15181 = 171×191×471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 15181 and 15188.

LCM(15181,15188) = 22×171×191×471×37971
LCM(15181,15188) = 230569028

Factors of 15181

List of positive integer factors of 15181 that divides 15181 without a remainder.

1, 17, 19, 47, 323, 799, 893, 15181

Factors of 15188

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

1, 2, 4, 3797, 7594, 15188

Least Common Multiple of 15181 and 15188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15181 and 15188, than apply into the LCM equation.

GCF(15181,15188) = 1
LCM(15181,15188) = ( 15181 × 15188) / 1
LCM(15181,15188) = 230569028 / 1
LCM(15181,15188) = 230569028

Properties of LCM 15181 and 15188

(i) The LCM of 15188 and 15181 is associative

LCM of 15181 and 15188 = LCM of 15188 and 15181

Related Least Common Multiples of 15181

Related Least Common Multiples of 15188

Frequently Asked Questions on LCM of 15181 and 15188

1. What is the LCM of 15181 and 15188?

Answer: LCM of 15181 and 15188 is 230569028.

2. What are the Factors of 15181?

Answer: Factors of 15181 are 1, 17, 19, 47, 323, 799, 893, 15181. There are 8 integers that are factors of 15181. The greatest factor of 15181 is 15181.

3. 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.

4. How to Find the LCM of 15181 and 15188?

Answer:

Least Common Multiple of 15181 and 15188 = 230569028

Step 1: Find the prime factorization of 15181

15181 = 17 x 19 x 47

Step 2: Find the prime factorization of 15188

15188 = 2 x 2 x 3797

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

LCM = 230569028 = 2 x 2 x 17 x 19 x 47 x 3797

Step 4: Therefore, the least common multiple of 15181 and 15188 is 230569028.