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 5061 the smallest integer that is 8527785 that is divisible by both numbers.
Least Common Multiple (LCM) of 5055 and 5061 is 8527785.
LCM(5055,5061) = 8527785
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 5061. First we will calculate the prime factors of 5055 and 5061.
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 5061
3 | 5061 |
7 | 1687 |
241 | 241 |
1 |
Prime factors of 5061 are 3, 7,241. Prime factorization of 5061 in exponential form is:
5061 = 31×71×2411
Now multiplying the highest exponent prime factors to calculate the LCM of 5055 and 5061.
LCM(5055,5061) = 31×51×71×2411×3371
LCM(5055,5061) = 8527785
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 5061
List of positive integer factors of 5061 that divides 5061 without a remainder.
1, 3, 7, 21, 241, 723, 1687, 5061
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5055 and 5061, than apply into the LCM equation.
GCF(5055,5061) = 3
LCM(5055,5061) = ( 5055 × 5061) / 3
LCM(5055,5061) = 25583355 / 3
LCM(5055,5061) = 8527785
(i) The LCM of 5061 and 5055 is associative
LCM of 5055 and 5061 = LCM of 5061 and 5055
1. What is the LCM of 5055 and 5061?
Answer: LCM of 5055 and 5061 is 8527785.
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 5061?
Answer: Factors of 5061 are 1, 3, 7, 21, 241, 723, 1687, 5061. There are 8 integers that are factors of 5061. The greatest factor of 5061 is 5061.
4. How to Find the LCM of 5055 and 5061?
Answer:
Least Common Multiple of 5055 and 5061 = 8527785
Step 1: Find the prime factorization of 5055
5055 = 3 x 5 x 337
Step 2: Find the prime factorization of 5061
5061 = 3 x 7 x 241
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8527785 = 3 x 5 x 7 x 241 x 337
Step 4: Therefore, the least common multiple of 5055 and 5061 is 8527785.