Find the LCM of 5564, 9764 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 5564, 9764. So, keep reading to learn more.
Given numbers are 5564,9764
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 5564,9764 is 13581724.
Find LCM of 5564,9764 with Prime Factorization
| 2 | 5564, 9764 |
| 2 | 2782, 4882 |
| 1391, 2441 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 1391 x 2441 = 13581724
Therefore, the lowest common multiple of 5564,9764 is 13581724.
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.
5564 x 9764 = 54326896
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.
5564 : 1, 2, 4, 13, 26, 52, 107, 214, 428, 1391, 2782, 5564
9764 : 1, 2, 4, 2441, 4882, 9764
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5564,9764, is 4.
Now, the common factors can be found like this.
5564:2x 2x 13x 107
9764:2x 2x 2441
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 = 54326896/(4x1)
LCM = 54326896/4
LCM = 13581724
Thus, we can understand that the LCM of 5564,9764 is 13581724.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 5564, 9764?
Answer: LCM of 5564, 9764 is 13581724.
2. How to calculate the LCM of 5564, 9764?
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 5564, 9764.
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}.