Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5077 and 5084 the smallest integer that is 25811468 that is divisible by both numbers.
Least Common Multiple (LCM) of 5077 and 5084 is 25811468.
LCM(5077,5084) = 25811468
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 5077 and 5084. First we will calculate the prime factors of 5077 and 5084.
Prime Factorization of 5077
5077 | 5077 |
1 |
Prime factors of 5077 are 5077. Prime factorization of 5077 in exponential form is:
5077 = 50771
Prime Factorization of 5084
2 | 5084 |
2 | 2542 |
31 | 1271 |
41 | 41 |
1 |
Prime factors of 5084 are 2, 31,41. Prime factorization of 5084 in exponential form is:
5084 = 22×311×411
Now multiplying the highest exponent prime factors to calculate the LCM of 5077 and 5084.
LCM(5077,5084) = 22×311×411×50771
LCM(5077,5084) = 25811468
Factors of 5077
List of positive integer factors of 5077 that divides 5077 without a remainder.
1, 5077
Factors of 5084
List of positive integer factors of 5084 that divides 5084 without a remainder.
1, 2, 4, 31, 41, 62, 82, 124, 164, 1271, 2542, 5084
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5077 and 5084, than apply into the LCM equation.
GCF(5077,5084) = 1
LCM(5077,5084) = ( 5077 × 5084) / 1
LCM(5077,5084) = 25811468 / 1
LCM(5077,5084) = 25811468
(i) The LCM of 5084 and 5077 is associative
LCM of 5077 and 5084 = LCM of 5084 and 5077
1. What is the LCM of 5077 and 5084?
Answer: LCM of 5077 and 5084 is 25811468.
2. What are the Factors of 5077?
Answer: Factors of 5077 are 1, 5077. There are 2 integers that are factors of 5077. The greatest factor of 5077 is 5077.
3. What are the Factors of 5084?
Answer: Factors of 5084 are 1, 2, 4, 31, 41, 62, 82, 124, 164, 1271, 2542, 5084. There are 12 integers that are factors of 5084. The greatest factor of 5084 is 5084.
4. How to Find the LCM of 5077 and 5084?
Answer:
Least Common Multiple of 5077 and 5084 = 25811468
Step 1: Find the prime factorization of 5077
5077 = 5077
Step 2: Find the prime factorization of 5084
5084 = 2 x 2 x 31 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 25811468 = 2 x 2 x 31 x 41 x 5077
Step 4: Therefore, the least common multiple of 5077 and 5084 is 25811468.