Least Common Multiple of 5057 and 5063
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 5063 the smallest integer that is 25603591 that is divisible by both numbers.
Least Common Multiple (LCM) of 5057 and 5063 is 25603591.
LCM(5057,5063) = 25603591
LCM of 5057 and 5063
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5057 and 5063 by Prime method
- Least Common Multiple of 5057 and 5063 with GCF Formula
LCM of 5057 and 5063 is 25603591
Least common multiple can be found by multiplying the highest exponent prime factors of 5057 and 5063. First we will calculate the prime factors of 5057 and 5063.
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 5063
| 61 | 5063 |
| 83 | 83 |
| 1 |
Prime factors of 5063 are 61,83. Prime factorization of 5063 in exponential form is:
5063 = 611×831
Now multiplying the highest exponent prime factors to calculate the LCM of 5057 and 5063.
LCM(5057,5063) = 131×611×831×3891
LCM(5057,5063) = 25603591
Factors of 5057
List of positive integer factors of 5057 that divides 5057 without a remainder.
1, 13, 389, 5057
Factors of 5063
List of positive integer factors of 5063 that divides 5063 without a remainder.
1, 61, 83, 5063
Least Common Multiple of 5057 and 5063 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 5063, than apply into the LCM equation.
GCF(5057,5063) = 1
LCM(5057,5063) = ( 5057 × 5063) / 1
LCM(5057,5063) = 25603591 / 1
LCM(5057,5063) = 25603591
Properties of LCM 5057 and 5063
(i) The LCM of 5063 and 5057 is associative
LCM of 5057 and 5063 = LCM of 5063 and 5057
Related Least Common Multiples of 5057
Related Least Common Multiples of 5063
Frequently Asked Questions on LCM of 5057 and 5063
1. What is the LCM of 5057 and 5063?
Answer: LCM of 5057 and 5063 is 25603591.
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 5063?
Answer: Factors of 5063 are 1, 61, 83, 5063. There are 4 integers that are factors of 5063. The greatest factor of 5063 is 5063.
4. How to Find the LCM of 5057 and 5063?
Answer:
Least Common Multiple of 5057 and 5063 = 25603591
Step 1: Find the prime factorization of 5057
5057 = 13 x 389
Step 2: Find the prime factorization of 5063
5063 = 61 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 25603591 = 13 x 61 x 83 x 389
Step 4: Therefore, the least common multiple of 5057 and 5063 is 25603591.