LCM of 8228, 3232
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 8228, 3232 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 8228, 3232. So, keep reading to learn more.
Given numbers are 8228,3232
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 8228,3232 is 6648224.
Find LCM of 8228,3232 with Prime Factorization
| 2 | 8228, 3232 |
| 2 | 4114, 1616 |
| 2057, 808 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2057 x 808 = 6648224
Therefore, the lowest common multiple of 8228,3232 is 6648224.
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.
8228 x 3232 = 26592896
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.
8228 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 121, 187, 242, 374, 484, 748, 2057, 4114, 8228
3232 : 1, 2, 4, 8, 16, 32, 101, 202, 404, 808, 1616, 3232
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8228,3232, is 4.
Now, the common factors can be found like this.
8228:2x 2x 11x 11x 17
3232:2x 2x 2x 2x 2x 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 = 26592896/(4x1)
LCM = 26592896/4
LCM = 6648224
Thus, we can understand that the LCM of 8228,3232 is 6648224.
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FAQs on LCM of 8228, 3232
1. What is the LCM of 8228, 3232?
Answer: LCM of 8228, 3232 is 6648224.
2. How to calculate the LCM of 8228, 3232?
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 8228, 3232.
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}.