Least Common Multiple of 5015 and 5019
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5015 and 5019 the smallest integer that is 25170285 that is divisible by both numbers.
Least Common Multiple (LCM) of 5015 and 5019 is 25170285.
LCM(5015,5019) = 25170285
LCM of 5015 and 5019
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5015 and 5019 by Prime method
- Least Common Multiple of 5015 and 5019 with GCF Formula
LCM of 5015 and 5019 is 25170285
Least common multiple can be found by multiplying the highest exponent prime factors of 5015 and 5019. First we will calculate the prime factors of 5015 and 5019.
Prime Factorization of 5015
| 5 | 5015 |
| 17 | 1003 |
| 59 | 59 |
| 1 |
Prime factors of 5015 are 5, 17,59. Prime factorization of 5015 in exponential form is:
5015 = 51×171×591
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 5015 and 5019.
LCM(5015,5019) = 31×51×71×171×591×2391
LCM(5015,5019) = 25170285
Factors of 5015
List of positive integer factors of 5015 that divides 5015 without a remainder.
1, 5, 17, 59, 85, 295, 1003, 5015
Factors of 5019
List of positive integer factors of 5019 that divides 5019 without a remainder.
1, 3, 7, 21, 239, 717, 1673, 5019
Least Common Multiple of 5015 and 5019 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5015 and 5019, than apply into the LCM equation.
GCF(5015,5019) = 1
LCM(5015,5019) = ( 5015 × 5019) / 1
LCM(5015,5019) = 25170285 / 1
LCM(5015,5019) = 25170285
Properties of LCM 5015 and 5019
(i) The LCM of 5019 and 5015 is associative
LCM of 5015 and 5019 = LCM of 5019 and 5015
Related Least Common Multiples of 5015
Related Least Common Multiples of 5019
Frequently Asked Questions on LCM of 5015 and 5019
1. What is the LCM of 5015 and 5019?
Answer: LCM of 5015 and 5019 is 25170285.
2. What are the Factors of 5015?
Answer: Factors of 5015 are 1, 5, 17, 59, 85, 295, 1003, 5015. There are 8 integers that are factors of 5015. The greatest factor of 5015 is 5015.
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 5015 and 5019?
Answer:
Least Common Multiple of 5015 and 5019 = 25170285
Step 1: Find the prime factorization of 5015
5015 = 5 x 17 x 59
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 = 25170285 = 3 x 5 x 7 x 17 x 59 x 239
Step 4: Therefore, the least common multiple of 5015 and 5019 is 25170285.