Least Common Multiple of 15180 and 15184

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 15184 the smallest integer that is 57623280 that is divisible by both numbers.

Least Common Multiple (LCM) of 15180 and 15184 is 57623280.

LCM(15180,15184) = 57623280

LCM of 15180 and 15184

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

LCM of:
and

Least Common Multiple of 15180 and 15184

LCM of 15180 and 15184 is 57623280

Least common multiple can be found by multiplying the highest exponent prime factors of 15180 and 15184. First we will calculate the prime factors of 15180 and 15184.

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 15184


2 15184
2 7592
2 3796
2 1898
13 949
73 73
1

Prime factors of 15184 are 2, 13,73. Prime factorization of 15184 in exponential form is:

15184 = 24×131×731

Now multiplying the highest exponent prime factors to calculate the LCM of 15180 and 15184.

LCM(15180,15184) = 24×31×51×111×131×231×731
LCM(15180,15184) = 57623280

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 15184

List of positive integer factors of 15184 that divides 15184 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 73, 104, 146, 208, 292, 584, 949, 1168, 1898, 3796, 7592, 15184

Least Common Multiple of 15180 and 15184 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 15184, than apply into the LCM equation.

GCF(15180,15184) = 4
LCM(15180,15184) = ( 15180 × 15184) / 4
LCM(15180,15184) = 230493120 / 4
LCM(15180,15184) = 57623280

Properties of LCM 15180 and 15184

(i) The LCM of 15184 and 15180 is associative

LCM of 15180 and 15184 = LCM of 15184 and 15180

Related Least Common Multiples of 15180

Related Least Common Multiples of 15184

Frequently Asked Questions on LCM of 15180 and 15184

1. What is the LCM of 15180 and 15184?

Answer: LCM of 15180 and 15184 is 57623280.

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 15184?

Answer: Factors of 15184 are 1, 2, 4, 8, 13, 16, 26, 52, 73, 104, 146, 208, 292, 584, 949, 1168, 1898, 3796, 7592, 15184. There are 20 integers that are factors of 15184. The greatest factor of 15184 is 15184.

4. How to Find the LCM of 15180 and 15184?

Answer:

Least Common Multiple of 15180 and 15184 = 57623280

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 15184

15184 = 2 x 2 x 2 x 2 x 13 x 73

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

LCM = 57623280 = 2 x 2 x 2 x 2 x 3 x 5 x 11 x 13 x 23 x 73

Step 4: Therefore, the least common multiple of 15180 and 15184 is 57623280.