Least Common Multiple of 15178 and 15180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15178 and 15180 the smallest integer that is 115201020 that is divisible by both numbers.

Least Common Multiple (LCM) of 15178 and 15180 is 115201020.

LCM(15178,15180) = 115201020

LCM of 15178 and 15180

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

LCM of:
and

Least Common Multiple of 15178 and 15180

LCM of 15178 and 15180 is 115201020

Least common multiple can be found by multiplying the highest exponent prime factors of 15178 and 15180. First we will calculate the prime factors of 15178 and 15180.

Prime Factorization of 15178


2 15178
7589 7589
1

Prime factors of 15178 are 2,7589. Prime factorization of 15178 in exponential form is:

15178 = 21×75891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 15178 and 15180.

LCM(15178,15180) = 22×31×51×111×231×75891
LCM(15178,15180) = 115201020

Factors of 15178

List of positive integer factors of 15178 that divides 15178 without a remainder.

1, 2, 7589, 15178

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

Least Common Multiple of 15178 and 15180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15178 and 15180, than apply into the LCM equation.

GCF(15178,15180) = 2
LCM(15178,15180) = ( 15178 × 15180) / 2
LCM(15178,15180) = 230402040 / 2
LCM(15178,15180) = 115201020

Properties of LCM 15178 and 15180

(i) The LCM of 15180 and 15178 is associative

LCM of 15178 and 15180 = LCM of 15180 and 15178

Related Least Common Multiples of 15178

Related Least Common Multiples of 15180

Frequently Asked Questions on LCM of 15178 and 15180

1. What is the LCM of 15178 and 15180?

Answer: LCM of 15178 and 15180 is 115201020.

2. What are the Factors of 15178?

Answer: Factors of 15178 are 1, 2, 7589, 15178. There are 4 integers that are factors of 15178. The greatest factor of 15178 is 15178.

3. 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.

4. How to Find the LCM of 15178 and 15180?

Answer:

Least Common Multiple of 15178 and 15180 = 115201020

Step 1: Find the prime factorization of 15178

15178 = 2 x 7589

Step 2: Find the prime factorization of 15180

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

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

LCM = 115201020 = 2 x 2 x 3 x 5 x 11 x 23 x 7589

Step 4: Therefore, the least common multiple of 15178 and 15180 is 115201020.