LCM of 8385, 8865
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 8385, 8865 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 8385, 8865. So, keep reading to learn more.
Given numbers are 8385,8865
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 8385,8865 is 4955535.
Find LCM of 8385,8865 with Prime Factorization
| 3 | 8385, 8865 |
| 5 | 2795, 2955 |
| 559, 591 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 559 x 591 = 4955535
Therefore, the lowest common multiple of 8385,8865 is 4955535.
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.
8385 x 8865 = 74333025
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.
8385 : 1, 3, 5, 13, 15, 39, 43, 65, 129, 195, 215, 559, 645, 1677, 2795, 8385
8865 : 1, 3, 5, 9, 15, 45, 197, 591, 985, 1773, 2955, 8865
15 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8385,8865, is 15.
Now, the common factors can be found like this.
8385:3x 5x 13x 43
8865:3x 3x 5x 197
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 = 74333025/(15x1)
LCM = 74333025/15
LCM = 4955535
Thus, we can understand that the LCM of 8385,8865 is 4955535.
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FAQs on LCM of 8385, 8865
1. What is the LCM of 8385, 8865?
Answer: LCM of 8385, 8865 is 4955535.
2. How to calculate the LCM of 8385, 8865?
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 8385, 8865.
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}.