Least Common Multiple of 5019 and 5026
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5019 and 5026 the smallest integer that is 3603642 that is divisible by both numbers.
Least Common Multiple (LCM) of 5019 and 5026 is 3603642.
LCM(5019,5026) = 3603642
LCM of 5019 and 5026
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5019 and 5026 by Prime method
- Least Common Multiple of 5019 and 5026 with GCF Formula
LCM of 5019 and 5026 is 3603642
Least common multiple can be found by multiplying the highest exponent prime factors of 5019 and 5026. First we will calculate the prime factors of 5019 and 5026.
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
Prime Factorization of 5026
| 2 | 5026 |
| 7 | 2513 |
| 359 | 359 |
| 1 |
Prime factors of 5026 are 2, 7,359. Prime factorization of 5026 in exponential form is:
5026 = 21×71×3591
Now multiplying the highest exponent prime factors to calculate the LCM of 5019 and 5026.
LCM(5019,5026) = 21×31×71×2391×3591
LCM(5019,5026) = 3603642
Factors of 5019
List of positive integer factors of 5019 that divides 5019 without a remainder.
1, 3, 7, 21, 239, 717, 1673, 5019
Factors of 5026
List of positive integer factors of 5026 that divides 5026 without a remainder.
1, 2, 7, 14, 359, 718, 2513, 5026
Least Common Multiple of 5019 and 5026 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5019 and 5026, than apply into the LCM equation.
GCF(5019,5026) = 7
LCM(5019,5026) = ( 5019 × 5026) / 7
LCM(5019,5026) = 25225494 / 7
LCM(5019,5026) = 3603642
Properties of LCM 5019 and 5026
(i) The LCM of 5026 and 5019 is associative
LCM of 5019 and 5026 = LCM of 5026 and 5019
Related Least Common Multiples of 5019
Related Least Common Multiples of 5026
Frequently Asked Questions on LCM of 5019 and 5026
1. What is the LCM of 5019 and 5026?
Answer: LCM of 5019 and 5026 is 3603642.
2. 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.
3. What are the Factors of 5026?
Answer: Factors of 5026 are 1, 2, 7, 14, 359, 718, 2513, 5026. There are 8 integers that are factors of 5026. The greatest factor of 5026 is 5026.
4. How to Find the LCM of 5019 and 5026?
Answer:
Least Common Multiple of 5019 and 5026 = 3603642
Step 1: Find the prime factorization of 5019
5019 = 3 x 7 x 239
Step 2: Find the prime factorization of 5026
5026 = 2 x 7 x 359
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3603642 = 2 x 3 x 7 x 239 x 359
Step 4: Therefore, the least common multiple of 5019 and 5026 is 3603642.