Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5055 and 5060 the smallest integer that is 5115660 that is divisible by both numbers.
Least Common Multiple (LCM) of 5055 and 5060 is 5115660.
LCM(5055,5060) = 5115660
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 5055 and 5060. First we will calculate the prime factors of 5055 and 5060.
Prime Factorization of 5055
3 | 5055 |
5 | 1685 |
337 | 337 |
1 |
Prime factors of 5055 are 3, 5,337. Prime factorization of 5055 in exponential form is:
5055 = 31×51×3371
Prime Factorization of 5060
2 | 5060 |
2 | 2530 |
5 | 1265 |
11 | 253 |
23 | 23 |
1 |
Prime factors of 5060 are 2, 5, 11,23. Prime factorization of 5060 in exponential form is:
5060 = 22×51×111×231
Now multiplying the highest exponent prime factors to calculate the LCM of 5055 and 5060.
LCM(5055,5060) = 22×31×51×111×231×3371
LCM(5055,5060) = 5115660
Factors of 5055
List of positive integer factors of 5055 that divides 5055 without a remainder.
1, 3, 5, 15, 337, 1011, 1685, 5055
Factors of 5060
List of positive integer factors of 5060 that divides 5060 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 23, 44, 46, 55, 92, 110, 115, 220, 230, 253, 460, 506, 1012, 1265, 2530, 5060
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5055 and 5060, than apply into the LCM equation.
GCF(5055,5060) = 5
LCM(5055,5060) = ( 5055 × 5060) / 5
LCM(5055,5060) = 25578300 / 5
LCM(5055,5060) = 5115660
(i) The LCM of 5060 and 5055 is associative
LCM of 5055 and 5060 = LCM of 5060 and 5055
1. What is the LCM of 5055 and 5060?
Answer: LCM of 5055 and 5060 is 5115660.
2. What are the Factors of 5055?
Answer: Factors of 5055 are 1, 3, 5, 15, 337, 1011, 1685, 5055. There are 8 integers that are factors of 5055. The greatest factor of 5055 is 5055.
3. What are the Factors of 5060?
Answer: Factors of 5060 are 1, 2, 4, 5, 10, 11, 20, 22, 23, 44, 46, 55, 92, 110, 115, 220, 230, 253, 460, 506, 1012, 1265, 2530, 5060. There are 24 integers that are factors of 5060. The greatest factor of 5060 is 5060.
4. How to Find the LCM of 5055 and 5060?
Answer:
Least Common Multiple of 5055 and 5060 = 5115660
Step 1: Find the prime factorization of 5055
5055 = 3 x 5 x 337
Step 2: Find the prime factorization of 5060
5060 = 2 x 2 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 = 5115660 = 2 x 2 x 3 x 5 x 11 x 23 x 337
Step 4: Therefore, the least common multiple of 5055 and 5060 is 5115660.