Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5076 and 5082 the smallest integer that is 4299372 that is divisible by both numbers.
Least Common Multiple (LCM) of 5076 and 5082 is 4299372.
LCM(5076,5082) = 4299372
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 5076 and 5082. First we will calculate the prime factors of 5076 and 5082.
Prime Factorization of 5076
2 | 5076 |
2 | 2538 |
3 | 1269 |
3 | 423 |
3 | 141 |
47 | 47 |
1 |
Prime factors of 5076 are 2, 3,47. Prime factorization of 5076 in exponential form is:
5076 = 22×33×471
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 5076 and 5082.
LCM(5076,5082) = 22×33×71×112×471
LCM(5076,5082) = 4299372
Factors of 5076
List of positive integer factors of 5076 that divides 5076 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 47, 54, 94, 108, 141, 188, 282, 423, 564, 846, 1269, 1692, 2538, 5076
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 5076 and 5082, than apply into the LCM equation.
GCF(5076,5082) = 6
LCM(5076,5082) = ( 5076 × 5082) / 6
LCM(5076,5082) = 25796232 / 6
LCM(5076,5082) = 4299372
(i) The LCM of 5082 and 5076 is associative
LCM of 5076 and 5082 = LCM of 5082 and 5076
1. What is the LCM of 5076 and 5082?
Answer: LCM of 5076 and 5082 is 4299372.
2. What are the Factors of 5076?
Answer: Factors of 5076 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 47, 54, 94, 108, 141, 188, 282, 423, 564, 846, 1269, 1692, 2538, 5076. There are 24 integers that are factors of 5076. The greatest factor of 5076 is 5076.
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 5076 and 5082?
Answer:
Least Common Multiple of 5076 and 5082 = 4299372
Step 1: Find the prime factorization of 5076
5076 = 2 x 2 x 3 x 3 x 3 x 47
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 = 4299372 = 2 x 2 x 3 x 3 x 3 x 7 x 11 x 11 x 47
Step 4: Therefore, the least common multiple of 5076 and 5082 is 4299372.