Least Common Multiple of 15180 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 15180 and 15188 the smallest integer that is 57638460 that is divisible by both numbers.

Least Common Multiple (LCM) of 15180 and 15188 is 57638460.

LCM(15180,15188) = 57638460

LCM of 15180 and 15188

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

LCM of:
and

Least Common Multiple of 15180 and 15188

LCM of 15180 and 15188 is 57638460

Least common multiple can be found by multiplying the highest exponent prime factors of 15180 and 15188. First we will calculate the prime factors of 15180 and 15188.

Prime Factorization of 15180


2 15180
2 7590
3 3795
5 1265
11 253
23 23
1

Prime factors of 15180 are 2, 3, 5, 11,23. Prime factorization of 15180 in exponential form is:

15180 = 22×31×51×111×231

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 15180 and 15188.

LCM(15180,15188) = 22×31×51×111×231×37971
LCM(15180,15188) = 57638460

Factors of 15180

List of positive integer factors of 15180 that divides 15180 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 23, 30, 33, 44, 46, 55, 60, 66, 69, 92, 110, 115, 132, 138, 165, 220, 230, 253, 276, 330, 345, 460, 506, 660, 690, 759, 1012, 1265, 1380, 1518, 2530, 3036, 3795, 5060, 7590, 15180

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 15180 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 15180 and 15188, than apply into the LCM equation.

GCF(15180,15188) = 4
LCM(15180,15188) = ( 15180 × 15188) / 4
LCM(15180,15188) = 230553840 / 4
LCM(15180,15188) = 57638460

Properties of LCM 15180 and 15188

(i) The LCM of 15188 and 15180 is associative

LCM of 15180 and 15188 = LCM of 15188 and 15180

Related Least Common Multiples of 15180

Related Least Common Multiples of 15188

Frequently Asked Questions on LCM of 15180 and 15188

1. What is the LCM of 15180 and 15188?

Answer: LCM of 15180 and 15188 is 57638460.

2. What are the Factors of 15180?

Answer: Factors of 15180 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 23, 30, 33, 44, 46, 55, 60, 66, 69, 92, 110, 115, 132, 138, 165, 220, 230, 253, 276, 330, 345, 460, 506, 660, 690, 759, 1012, 1265, 1380, 1518, 2530, 3036, 3795, 5060, 7590, 15180. There are 48 integers that are factors of 15180. The greatest factor of 15180 is 15180.

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 15180 and 15188?

Answer:

Least Common Multiple of 15180 and 15188 = 57638460

Step 1: Find the prime factorization of 15180

15180 = 2 x 2 x 3 x 5 x 11 x 23

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 = 57638460 = 2 x 2 x 3 x 5 x 11 x 23 x 3797

Step 4: Therefore, the least common multiple of 15180 and 15188 is 57638460.