Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5075 and 5082 the smallest integer that is 3684450 that is divisible by both numbers.
Least Common Multiple (LCM) of 5075 and 5082 is 3684450.
LCM(5075,5082) = 3684450
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 5075 and 5082. First we will calculate the prime factors of 5075 and 5082.
Prime Factorization of 5075
5 | 5075 |
5 | 1015 |
7 | 203 |
29 | 29 |
1 |
Prime factors of 5075 are 5, 7,29. Prime factorization of 5075 in exponential form is:
5075 = 52×71×291
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 5075 and 5082.
LCM(5075,5082) = 21×31×52×71×112×291
LCM(5075,5082) = 3684450
Factors of 5075
List of positive integer factors of 5075 that divides 5075 without a remainder.
1, 5, 7, 25, 29, 35, 145, 175, 203, 725, 1015, 5075
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 5075 and 5082, than apply into the LCM equation.
GCF(5075,5082) = 7
LCM(5075,5082) = ( 5075 × 5082) / 7
LCM(5075,5082) = 25791150 / 7
LCM(5075,5082) = 3684450
(i) The LCM of 5082 and 5075 is associative
LCM of 5075 and 5082 = LCM of 5082 and 5075
1. What is the LCM of 5075 and 5082?
Answer: LCM of 5075 and 5082 is 3684450.
2. What are the Factors of 5075?
Answer: Factors of 5075 are 1, 5, 7, 25, 29, 35, 145, 175, 203, 725, 1015, 5075. There are 12 integers that are factors of 5075. The greatest factor of 5075 is 5075.
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 5075 and 5082?
Answer:
Least Common Multiple of 5075 and 5082 = 3684450
Step 1: Find the prime factorization of 5075
5075 = 5 x 5 x 7 x 29
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 = 3684450 = 2 x 3 x 5 x 5 x 7 x 11 x 11 x 29
Step 4: Therefore, the least common multiple of 5075 and 5082 is 3684450.