Least Common Multiple of 15182 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 15182 and 15188 the smallest integer that is 115292108 that is divisible by both numbers.

Least Common Multiple (LCM) of 15182 and 15188 is 115292108.

LCM(15182,15188) = 115292108

LCM of 15182 and 15188

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

LCM of:
and

Least Common Multiple of 15182 and 15188

LCM of 15182 and 15188 is 115292108

Least common multiple can be found by multiplying the highest exponent prime factors of 15182 and 15188. First we will calculate the prime factors of 15182 and 15188.

Prime Factorization of 15182


2 15182
7591 7591
1

Prime factors of 15182 are 2,7591. Prime factorization of 15182 in exponential form is:

15182 = 21×75911

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 15182 and 15188.

LCM(15182,15188) = 22×37971×75911
LCM(15182,15188) = 115292108

Factors of 15182

List of positive integer factors of 15182 that divides 15182 without a remainder.

1, 2, 7591, 15182

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 15182 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 15182 and 15188, than apply into the LCM equation.

GCF(15182,15188) = 2
LCM(15182,15188) = ( 15182 × 15188) / 2
LCM(15182,15188) = 230584216 / 2
LCM(15182,15188) = 115292108

Properties of LCM 15182 and 15188

(i) The LCM of 15188 and 15182 is associative

LCM of 15182 and 15188 = LCM of 15188 and 15182

Related Least Common Multiples of 15182

Related Least Common Multiples of 15188

Frequently Asked Questions on LCM of 15182 and 15188

1. What is the LCM of 15182 and 15188?

Answer: LCM of 15182 and 15188 is 115292108.

2. What are the Factors of 15182?

Answer: Factors of 15182 are 1, 2, 7591, 15182. There are 4 integers that are factors of 15182. The greatest factor of 15182 is 15182.

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 15182 and 15188?

Answer:

Least Common Multiple of 15182 and 15188 = 115292108

Step 1: Find the prime factorization of 15182

15182 = 2 x 7591

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 = 115292108 = 2 x 2 x 3797 x 7591

Step 4: Therefore, the least common multiple of 15182 and 15188 is 115292108.