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 5064 the smallest integer that is 25608648 that is divisible by both numbers.
Least Common Multiple (LCM) of 5057 and 5064 is 25608648.
LCM(5057,5064) = 25608648
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 5064. First we will calculate the prime factors of 5057 and 5064.
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 5064
2 | 5064 |
2 | 2532 |
2 | 1266 |
3 | 633 |
211 | 211 |
1 |
Prime factors of 5064 are 2, 3,211. Prime factorization of 5064 in exponential form is:
5064 = 23×31×2111
Now multiplying the highest exponent prime factors to calculate the LCM of 5057 and 5064.
LCM(5057,5064) = 23×31×131×2111×3891
LCM(5057,5064) = 25608648
Factors of 5057
List of positive integer factors of 5057 that divides 5057 without a remainder.
1, 13, 389, 5057
Factors of 5064
List of positive integer factors of 5064 that divides 5064 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 211, 422, 633, 844, 1266, 1688, 2532, 5064
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5057 and 5064, than apply into the LCM equation.
GCF(5057,5064) = 1
LCM(5057,5064) = ( 5057 × 5064) / 1
LCM(5057,5064) = 25608648 / 1
LCM(5057,5064) = 25608648
(i) The LCM of 5064 and 5057 is associative
LCM of 5057 and 5064 = LCM of 5064 and 5057
1. What is the LCM of 5057 and 5064?
Answer: LCM of 5057 and 5064 is 25608648.
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 5064?
Answer: Factors of 5064 are 1, 2, 3, 4, 6, 8, 12, 24, 211, 422, 633, 844, 1266, 1688, 2532, 5064. There are 16 integers that are factors of 5064. The greatest factor of 5064 is 5064.
4. How to Find the LCM of 5057 and 5064?
Answer:
Least Common Multiple of 5057 and 5064 = 25608648
Step 1: Find the prime factorization of 5057
5057 = 13 x 389
Step 2: Find the prime factorization of 5064
5064 = 2 x 2 x 2 x 3 x 211
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 25608648 = 2 x 2 x 2 x 3 x 13 x 211 x 389
Step 4: Therefore, the least common multiple of 5057 and 5064 is 25608648.