Least Common Multiple of 15180 and 15185

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 15185 the smallest integer that is 46101660 that is divisible by both numbers.

Least Common Multiple (LCM) of 15180 and 15185 is 46101660.

LCM(15180,15185) = 46101660

LCM of 15180 and 15185

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

LCM of:
and

Least Common Multiple of 15180 and 15185

LCM of 15180 and 15185 is 46101660

Least common multiple can be found by multiplying the highest exponent prime factors of 15180 and 15185. First we will calculate the prime factors of 15180 and 15185.

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 15185


5 15185
3037 3037
1

Prime factors of 15185 are 5,3037. Prime factorization of 15185 in exponential form is:

15185 = 51×30371

Now multiplying the highest exponent prime factors to calculate the LCM of 15180 and 15185.

LCM(15180,15185) = 22×31×51×111×231×30371
LCM(15180,15185) = 46101660

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 15185

List of positive integer factors of 15185 that divides 15185 without a remainder.

1, 5, 3037, 15185

Least Common Multiple of 15180 and 15185 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 15185, than apply into the LCM equation.

GCF(15180,15185) = 5
LCM(15180,15185) = ( 15180 × 15185) / 5
LCM(15180,15185) = 230508300 / 5
LCM(15180,15185) = 46101660

Properties of LCM 15180 and 15185

(i) The LCM of 15185 and 15180 is associative

LCM of 15180 and 15185 = LCM of 15185 and 15180

Related Least Common Multiples of 15180

Related Least Common Multiples of 15185

Frequently Asked Questions on LCM of 15180 and 15185

1. What is the LCM of 15180 and 15185?

Answer: LCM of 15180 and 15185 is 46101660.

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 15185?

Answer: Factors of 15185 are 1, 5, 3037, 15185. There are 4 integers that are factors of 15185. The greatest factor of 15185 is 15185.

4. How to Find the LCM of 15180 and 15185?

Answer:

Least Common Multiple of 15180 and 15185 = 46101660

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 15185

15185 = 5 x 3037

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

LCM = 46101660 = 2 x 2 x 3 x 5 x 11 x 23 x 3037

Step 4: Therefore, the least common multiple of 15180 and 15185 is 46101660.