Find the LCM of 5709, 5289 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 5709, 5289. So, keep reading to learn more.
Given numbers are 5709,5289
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 5709,5289 is 10064967.
Find LCM of 5709,5289 with Prime Factorization
| 3 | 5709, 5289 |
| 1903, 1763 |
Multiply the prime numbers at the bottom and the left side.
3 x 1903 x 1763 = 10064967
Therefore, the lowest common multiple of 5709,5289 is 10064967.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
5709 x 5289 = 30194901
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
5709 : 1, 3, 11, 33, 173, 519, 1903, 5709
5289 : 1, 3, 41, 43, 123, 129, 1763, 5289
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5709,5289, is 3.
Now, the common factors can be found like this.
5709:3x 11x 173
5289:3x 41x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
= 1
Therefore, the value for common factors is 1.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 30194901/(3x1)
LCM = 30194901/3
LCM = 10064967
Thus, we can understand that the LCM of 5709,5289 is 10064967.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 5709, 5289?
Answer: LCM of 5709, 5289 is 10064967.
2. How to calculate the LCM of 5709, 5289?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 5709, 5289.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.