Find the LCM of 6333, 9747 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 6333, 9747. So, keep reading to learn more.
Given numbers are 6333,9747
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 6333,9747 is 20575917.
Find LCM of 6333,9747 with Prime Factorization
| 3 | 6333, 9747 |
| 2111, 3249 |
Multiply the prime numbers at the bottom and the left side.
3 x 2111 x 3249 = 20575917
Therefore, the lowest common multiple of 6333,9747 is 20575917.
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.
6333 x 9747 = 61727751
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.
6333 : 1, 3, 2111, 6333
9747 : 1, 3, 9, 19, 27, 57, 171, 361, 513, 1083, 3249, 9747
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6333,9747, is 3.
Now, the common factors can be found like this.
6333:3x 2111
9747:3x 3x 3x 19x 19
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 = 61727751/(3x1)
LCM = 61727751/3
LCM = 20575917
Thus, we can understand that the LCM of 6333,9747 is 20575917.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 6333, 9747?
Answer: LCM of 6333, 9747 is 20575917.
2. How to calculate the LCM of 6333, 9747?
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 6333, 9747.
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}.