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 5065 the smallest integer that is 25613705 that is divisible by both numbers.
Least Common Multiple (LCM) of 5057 and 5065 is 25613705.
LCM(5057,5065) = 25613705
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 5057 and 5065. First we will calculate the prime factors of 5057 and 5065.
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 5065
5 | 5065 |
1013 | 1013 |
1 |
Prime factors of 5065 are 5,1013. Prime factorization of 5065 in exponential form is:
5065 = 51×10131
Now multiplying the highest exponent prime factors to calculate the LCM of 5057 and 5065.
LCM(5057,5065) = 51×131×3891×10131
LCM(5057,5065) = 25613705
Factors of 5057
List of positive integer factors of 5057 that divides 5057 without a remainder.
1, 13, 389, 5057
Factors of 5065
List of positive integer factors of 5065 that divides 5065 without a remainder.
1, 5, 1013, 5065
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5057 and 5065, than apply into the LCM equation.
GCF(5057,5065) = 1
LCM(5057,5065) = ( 5057 × 5065) / 1
LCM(5057,5065) = 25613705 / 1
LCM(5057,5065) = 25613705
(i) The LCM of 5065 and 5057 is associative
LCM of 5057 and 5065 = LCM of 5065 and 5057
1. What is the LCM of 5057 and 5065?
Answer: LCM of 5057 and 5065 is 25613705.
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 5065?
Answer: Factors of 5065 are 1, 5, 1013, 5065. There are 4 integers that are factors of 5065. The greatest factor of 5065 is 5065.
4. How to Find the LCM of 5057 and 5065?
Answer:
Least Common Multiple of 5057 and 5065 = 25613705
Step 1: Find the prime factorization of 5057
5057 = 13 x 389
Step 2: Find the prime factorization of 5065
5065 = 5 x 1013
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 25613705 = 5 x 13 x 389 x 1013
Step 4: Therefore, the least common multiple of 5057 and 5065 is 25613705.