LCM of 8265, 9999
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 8265, 9999 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 8265, 9999. So, keep reading to learn more.
Given numbers are 8265,9999
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 8265,9999 is 27547245.
Find LCM of 8265,9999 with Prime Factorization
| 3 | 8265, 9999 |
| 2755, 3333 |
Multiply the prime numbers at the bottom and the left side.
3 x 2755 x 3333 = 27547245
Therefore, the lowest common multiple of 8265,9999 is 27547245.
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.
8265 x 9999 = 82641735
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.
8265 : 1, 3, 5, 15, 19, 29, 57, 87, 95, 145, 285, 435, 551, 1653, 2755, 8265
9999 : 1, 3, 9, 11, 33, 99, 101, 303, 909, 1111, 3333, 9999
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8265,9999, is 3.
Now, the common factors can be found like this.
8265:3x 5x 19x 29
9999:3x 3x 11x 101
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 = 82641735/(3x1)
LCM = 82641735/3
LCM = 27547245
Thus, we can understand that the LCM of 8265,9999 is 27547245.
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FAQs on LCM of 8265, 9999
1. What is the LCM of 8265, 9999?
Answer: LCM of 8265, 9999 is 27547245.
2. How to calculate the LCM of 8265, 9999?
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 8265, 9999.
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}.