Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5002 and 5004 the smallest integer that is 12515004 that is divisible by both numbers.
Least Common Multiple (LCM) of 5002 and 5004 is 12515004.
LCM(5002,5004) = 12515004
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 5002 and 5004. First we will calculate the prime factors of 5002 and 5004.
Prime Factorization of 5002
2 | 5002 |
41 | 2501 |
61 | 61 |
1 |
Prime factors of 5002 are 2, 41,61. Prime factorization of 5002 in exponential form is:
5002 = 21×411×611
Prime Factorization of 5004
2 | 5004 |
2 | 2502 |
3 | 1251 |
3 | 417 |
139 | 139 |
1 |
Prime factors of 5004 are 2, 3,139. Prime factorization of 5004 in exponential form is:
5004 = 22×32×1391
Now multiplying the highest exponent prime factors to calculate the LCM of 5002 and 5004.
LCM(5002,5004) = 22×32×411×611×1391
LCM(5002,5004) = 12515004
Factors of 5002
List of positive integer factors of 5002 that divides 5002 without a remainder.
1, 2, 41, 61, 82, 122, 2501, 5002
Factors of 5004
List of positive integer factors of 5004 that divides 5004 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 139, 278, 417, 556, 834, 1251, 1668, 2502, 5004
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5002 and 5004, than apply into the LCM equation.
GCF(5002,5004) = 2
LCM(5002,5004) = ( 5002 × 5004) / 2
LCM(5002,5004) = 25030008 / 2
LCM(5002,5004) = 12515004
(i) The LCM of 5004 and 5002 is associative
LCM of 5002 and 5004 = LCM of 5004 and 5002
1. What is the LCM of 5002 and 5004?
Answer: LCM of 5002 and 5004 is 12515004.
2. What are the Factors of 5002?
Answer: Factors of 5002 are 1, 2, 41, 61, 82, 122, 2501, 5002. There are 8 integers that are factors of 5002. The greatest factor of 5002 is 5002.
3. What are the Factors of 5004?
Answer: Factors of 5004 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 139, 278, 417, 556, 834, 1251, 1668, 2502, 5004. There are 18 integers that are factors of 5004. The greatest factor of 5004 is 5004.
4. How to Find the LCM of 5002 and 5004?
Answer:
Least Common Multiple of 5002 and 5004 = 12515004
Step 1: Find the prime factorization of 5002
5002 = 2 x 41 x 61
Step 2: Find the prime factorization of 5004
5004 = 2 x 2 x 3 x 3 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12515004 = 2 x 2 x 3 x 3 x 41 x 61 x 139
Step 4: Therefore, the least common multiple of 5002 and 5004 is 12515004.