Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5012 and 5019 the smallest integer that is 3593604 that is divisible by both numbers.
Least Common Multiple (LCM) of 5012 and 5019 is 3593604.
LCM(5012,5019) = 3593604
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 5012 and 5019. First we will calculate the prime factors of 5012 and 5019.
Prime Factorization of 5012
2 | 5012 |
2 | 2506 |
7 | 1253 |
179 | 179 |
1 |
Prime factors of 5012 are 2, 7,179. Prime factorization of 5012 in exponential form is:
5012 = 22×71×1791
Prime Factorization of 5019
3 | 5019 |
7 | 1673 |
239 | 239 |
1 |
Prime factors of 5019 are 3, 7,239. Prime factorization of 5019 in exponential form is:
5019 = 31×71×2391
Now multiplying the highest exponent prime factors to calculate the LCM of 5012 and 5019.
LCM(5012,5019) = 22×31×71×1791×2391
LCM(5012,5019) = 3593604
Factors of 5012
List of positive integer factors of 5012 that divides 5012 without a remainder.
1, 2, 4, 7, 14, 28, 179, 358, 716, 1253, 2506, 5012
Factors of 5019
List of positive integer factors of 5019 that divides 5019 without a remainder.
1, 3, 7, 21, 239, 717, 1673, 5019
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5012 and 5019, than apply into the LCM equation.
GCF(5012,5019) = 7
LCM(5012,5019) = ( 5012 × 5019) / 7
LCM(5012,5019) = 25155228 / 7
LCM(5012,5019) = 3593604
(i) The LCM of 5019 and 5012 is associative
LCM of 5012 and 5019 = LCM of 5019 and 5012
1. What is the LCM of 5012 and 5019?
Answer: LCM of 5012 and 5019 is 3593604.
2. What are the Factors of 5012?
Answer: Factors of 5012 are 1, 2, 4, 7, 14, 28, 179, 358, 716, 1253, 2506, 5012. There are 12 integers that are factors of 5012. The greatest factor of 5012 is 5012.
3. What are the Factors of 5019?
Answer: Factors of 5019 are 1, 3, 7, 21, 239, 717, 1673, 5019. There are 8 integers that are factors of 5019. The greatest factor of 5019 is 5019.
4. How to Find the LCM of 5012 and 5019?
Answer:
Least Common Multiple of 5012 and 5019 = 3593604
Step 1: Find the prime factorization of 5012
5012 = 2 x 2 x 7 x 179
Step 2: Find the prime factorization of 5019
5019 = 3 x 7 x 239
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3593604 = 2 x 2 x 3 x 7 x 179 x 239
Step 4: Therefore, the least common multiple of 5012 and 5019 is 3593604.