LCM of 6882, 2286
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 6882, 2286 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 6882, 2286. So, keep reading to learn more.
Given numbers are 6882,2286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 6882,2286 is 2622042.
Find LCM of 6882,2286 with Prime Factorization
| 2 | 6882, 2286 |
| 3 | 3441, 1143 |
| 1147, 381 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 1147 x 381 = 2622042
Therefore, the lowest common multiple of 6882,2286 is 2622042.
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.
6882 x 2286 = 15732252
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.
6882 : 1, 2, 3, 6, 31, 37, 62, 74, 93, 111, 186, 222, 1147, 2294, 3441, 6882
2286 : 1, 2, 3, 6, 9, 18, 127, 254, 381, 762, 1143, 2286
6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6882,2286, is 6.
Now, the common factors can be found like this.
6882:2x 3x 31x 37
2286:2x 3x 3x 127
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 = 15732252/(6x1)
LCM = 15732252/6
LCM = 2622042
Thus, we can understand that the LCM of 6882,2286 is 2622042.
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FAQs on LCM of 6882, 2286
1. What is the LCM of 6882, 2286?
Answer: LCM of 6882, 2286 is 2622042.
2. How to calculate the LCM of 6882, 2286?
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 6882, 2286.
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}.