Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5082 and 5085 the smallest integer that is 8613990 that is divisible by both numbers.
Least Common Multiple (LCM) of 5082 and 5085 is 8613990.
LCM(5082,5085) = 8613990
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 5082 and 5085. First we will calculate the prime factors of 5082 and 5085.
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
Prime Factorization of 5085
3 | 5085 |
3 | 1695 |
5 | 565 |
113 | 113 |
1 |
Prime factors of 5085 are 3, 5,113. Prime factorization of 5085 in exponential form is:
5085 = 32×51×1131
Now multiplying the highest exponent prime factors to calculate the LCM of 5082 and 5085.
LCM(5082,5085) = 21×32×51×71×112×1131
LCM(5082,5085) = 8613990
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
Factors of 5085
List of positive integer factors of 5085 that divides 5085 without a remainder.
1, 3, 5, 9, 15, 45, 113, 339, 565, 1017, 1695, 5085
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5082 and 5085, than apply into the LCM equation.
GCF(5082,5085) = 3
LCM(5082,5085) = ( 5082 × 5085) / 3
LCM(5082,5085) = 25841970 / 3
LCM(5082,5085) = 8613990
(i) The LCM of 5085 and 5082 is associative
LCM of 5082 and 5085 = LCM of 5085 and 5082
1. What is the LCM of 5082 and 5085?
Answer: LCM of 5082 and 5085 is 8613990.
2. 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.
3. What are the Factors of 5085?
Answer: Factors of 5085 are 1, 3, 5, 9, 15, 45, 113, 339, 565, 1017, 1695, 5085. There are 12 integers that are factors of 5085. The greatest factor of 5085 is 5085.
4. How to Find the LCM of 5082 and 5085?
Answer:
Least Common Multiple of 5082 and 5085 = 8613990
Step 1: Find the prime factorization of 5082
5082 = 2 x 3 x 7 x 11 x 11
Step 2: Find the prime factorization of 5085
5085 = 3 x 3 x 5 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8613990 = 2 x 3 x 3 x 5 x 7 x 11 x 11 x 113
Step 4: Therefore, the least common multiple of 5082 and 5085 is 8613990.