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
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
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
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
(i) The LCM of 15184 and 15180 is associative
LCM of 15180 and 15184 = LCM of 15184 and 15180
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.