Least Common Multiple of 5057 and 5061
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5057 and 5061 the smallest integer that is 25593477 that is divisible by both numbers.
Least Common Multiple (LCM) of 5057 and 5061 is 25593477.
LCM(5057,5061) = 25593477
LCM of 5057 and 5061
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5057 and 5061 by Prime method
- Least Common Multiple of 5057 and 5061 with GCF Formula
LCM of 5057 and 5061 is 25593477
Least common multiple can be found by multiplying the highest exponent prime factors of 5057 and 5061. First we will calculate the prime factors of 5057 and 5061.
Prime Factorization of 5057
| 13 | 5057 |
| 389 | 389 |
| 1 |
Prime factors of 5057 are 13,389. Prime factorization of 5057 in exponential form is:
5057 = 131×3891
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 5057 and 5061.
LCM(5057,5061) = 31×71×131×2411×3891
LCM(5057,5061) = 25593477
Factors of 5057
List of positive integer factors of 5057 that divides 5057 without a remainder.
1, 13, 389, 5057
Factors of 5061
List of positive integer factors of 5061 that divides 5061 without a remainder.
1, 3, 7, 21, 241, 723, 1687, 5061
Least Common Multiple of 5057 and 5061 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5057 and 5061, than apply into the LCM equation.
GCF(5057,5061) = 1
LCM(5057,5061) = ( 5057 × 5061) / 1
LCM(5057,5061) = 25593477 / 1
LCM(5057,5061) = 25593477
Properties of LCM 5057 and 5061
(i) The LCM of 5061 and 5057 is associative
LCM of 5057 and 5061 = LCM of 5061 and 5057
Related Least Common Multiples of 5057
Related Least Common Multiples of 5061
Frequently Asked Questions on LCM of 5057 and 5061
1. What is the LCM of 5057 and 5061?
Answer: LCM of 5057 and 5061 is 25593477.
2. What are the Factors of 5057?
Answer: Factors of 5057 are 1, 13, 389, 5057. There are 4 integers that are factors of 5057. The greatest factor of 5057 is 5057.
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 5057 and 5061?
Answer:
Least Common Multiple of 5057 and 5061 = 25593477
Step 1: Find the prime factorization of 5057
5057 = 13 x 389
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 = 25593477 = 3 x 7 x 13 x 241 x 389
Step 4: Therefore, the least common multiple of 5057 and 5061 is 25593477.