Find the LCM of 9982, 7819 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 9982, 7819. So, keep reading to learn more.
Given numbers are 9982,7819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 9982,7819 is 11149894.
Find LCM of 9982,7819 with Prime Factorization
| 7 | 9982, 7819 |
| 1426, 1117 |
Multiply the prime numbers at the bottom and the left side.
7 x 1426 x 1117 = 11149894
Therefore, the lowest common multiple of 9982,7819 is 11149894.
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.
9982 x 7819 = 78049258
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.
9982 : 1, 2, 7, 14, 23, 31, 46, 62, 161, 217, 322, 434, 713, 1426, 4991, 9982
7819 : 1, 7, 1117, 7819
7 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9982,7819, is 7.
Now, the common factors can be found like this.
9982:2x 7x 23x 31
7819:7x 1117
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 = 78049258/(7x1)
LCM = 78049258/7
LCM = 11149894
Thus, we can understand that the LCM of 9982,7819 is 11149894.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 9982, 7819?
Answer: LCM of 9982, 7819 is 11149894.
2. How to calculate the LCM of 9982, 7819?
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 9982, 7819.
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}.