LCM of 8025, 9075
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 8025, 9075 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 8025, 9075. So, keep reading to learn more.
Given numbers are 8025,9075
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 8025,9075 is 971025.
Find LCM of 8025,9075 with Prime Factorization
| 3 | 8025, 9075 |
| 5 | 2675, 3025 |
| 5 | 535, 605 |
| 107, 121 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 5 x 107 x 121 = 971025
Therefore, the lowest common multiple of 8025,9075 is 971025.
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.
8025 x 9075 = 72826875
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.
8025 : 1, 3, 5, 15, 25, 75, 107, 321, 535, 1605, 2675, 8025
9075 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 121, 165, 275, 363, 605, 825, 1815, 3025, 9075
75 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8025,9075, is 75.
Now, the common factors can be found like this.
8025:3x 5x 5x 107
9075:3x 5x 5x 11x 11
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 = 72826875/(75x1)
LCM = 72826875/75
LCM = 971025
Thus, we can understand that the LCM of 8025,9075 is 971025.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 8025, 9075
1. What is the LCM of 8025, 9075?
Answer: LCM of 8025, 9075 is 971025.
2. How to calculate the LCM of 8025, 9075?
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 8025, 9075.
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}.