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 5082 the smallest integer that is 25801314 that is divisible by both numbers.
Least Common Multiple (LCM) of 5077 and 5082 is 25801314.
LCM(5077,5082) = 25801314
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 5082. First we will calculate the prime factors of 5077 and 5082.
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 5082
2 | 5082 |
3 | 2541 |
7 | 847 |
11 | 121 |
11 | 11 |
1 |
Prime factors of 5082 are 2, 3, 7,11. Prime factorization of 5082 in exponential form is:
5082 = 21×31×71×112
Now multiplying the highest exponent prime factors to calculate the LCM of 5077 and 5082.
LCM(5077,5082) = 21×31×71×112×50771
LCM(5077,5082) = 25801314
Factors of 5077
List of positive integer factors of 5077 that divides 5077 without a remainder.
1, 5077
Factors of 5082
List of positive integer factors of 5082 that divides 5082 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 121, 154, 231, 242, 363, 462, 726, 847, 1694, 2541, 5082
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5077 and 5082, than apply into the LCM equation.
GCF(5077,5082) = 1
LCM(5077,5082) = ( 5077 × 5082) / 1
LCM(5077,5082) = 25801314 / 1
LCM(5077,5082) = 25801314
(i) The LCM of 5082 and 5077 is associative
LCM of 5077 and 5082 = LCM of 5082 and 5077
1. What is the LCM of 5077 and 5082?
Answer: LCM of 5077 and 5082 is 25801314.
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 5082?
Answer: Factors of 5082 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 121, 154, 231, 242, 363, 462, 726, 847, 1694, 2541, 5082. There are 24 integers that are factors of 5082. The greatest factor of 5082 is 5082.
4. How to Find the LCM of 5077 and 5082?
Answer:
Least Common Multiple of 5077 and 5082 = 25801314
Step 1: Find the prime factorization of 5077
5077 = 5077
Step 2: Find the prime factorization of 5082
5082 = 2 x 3 x 7 x 11 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 25801314 = 2 x 3 x 7 x 11 x 11 x 5077
Step 4: Therefore, the least common multiple of 5077 and 5082 is 25801314.