LCM of 9913, 9936
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 9913, 9936 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 9913, 9936. So, keep reading to learn more.
Given numbers are 9913,9936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 9913,9936 is 4282416.
Find LCM of 9913,9936 with Prime Factorization
| 23 | 9913, 9936 |
| 431, 432 |
Multiply the prime numbers at the bottom and the left side.
23 x 431 x 432 = 4282416
Therefore, the lowest common multiple of 9913,9936 is 4282416.
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.
9913 x 9936 = 98495568
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.
9913 : 1, 23, 431, 9913
9936 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 27, 36, 46, 48, 54, 69, 72, 92, 108, 138, 144, 184, 207, 216, 276, 368, 414, 432, 552, 621, 828, 1104, 1242, 1656, 2484, 3312, 4968, 9936
23 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9913,9936, is 23.
Now, the common factors can be found like this.
9913:23x 431
9936:2x 2x 2x 2x 3x 3x 3x 23
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 = 98495568/(23x1)
LCM = 98495568/23
LCM = 4282416
Thus, we can understand that the LCM of 9913,9936 is 4282416.
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FAQs on LCM of 9913, 9936
1. What is the LCM of 9913, 9936?
Answer: LCM of 9913, 9936 is 4282416.
2. How to calculate the LCM of 9913, 9936?
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 9913, 9936.
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}.