Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4999 and 5004 the smallest integer that is 25014996 that is divisible by both numbers.
Least Common Multiple (LCM) of 4999 and 5004 is 25014996.
LCM(4999,5004) = 25014996
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 4999 and 5004. First we will calculate the prime factors of 4999 and 5004.
Prime Factorization of 4999
4999 | 4999 |
1 |
Prime factors of 4999 are 4999. Prime factorization of 4999 in exponential form is:
4999 = 49991
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 4999 and 5004.
LCM(4999,5004) = 22×32×1391×49991
LCM(4999,5004) = 25014996
Factors of 4999
List of positive integer factors of 4999 that divides 4999 without a remainder.
1, 4999
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 4999 and 5004, than apply into the LCM equation.
GCF(4999,5004) = 1
LCM(4999,5004) = ( 4999 × 5004) / 1
LCM(4999,5004) = 25014996 / 1
LCM(4999,5004) = 25014996
(i) The LCM of 5004 and 4999 is associative
LCM of 4999 and 5004 = LCM of 5004 and 4999
1. What is the LCM of 4999 and 5004?
Answer: LCM of 4999 and 5004 is 25014996.
2. What are the Factors of 4999?
Answer: Factors of 4999 are 1, 4999. There are 2 integers that are factors of 4999. The greatest factor of 4999 is 4999.
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 4999 and 5004?
Answer:
Least Common Multiple of 4999 and 5004 = 25014996
Step 1: Find the prime factorization of 4999
4999 = 4999
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 = 25014996 = 2 x 2 x 3 x 3 x 139 x 4999
Step 4: Therefore, the least common multiple of 4999 and 5004 is 25014996.