LCM of 8758, 2106
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 8758, 2106 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 8758, 2106. So, keep reading to learn more.
Given numbers are 8758,2106
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 8758,2106 is 9222174.
Find LCM of 8758,2106 with Prime Factorization
| 2 | 8758, 2106 |
| 4379, 1053 |
Multiply the prime numbers at the bottom and the left side.
2 x 4379 x 1053 = 9222174
Therefore, the lowest common multiple of 8758,2106 is 9222174.
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.
8758 x 2106 = 18444348
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.
8758 : 1, 2, 29, 58, 151, 302, 4379, 8758
2106 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 351, 702, 1053, 2106
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8758,2106, is 2.
Now, the common factors can be found like this.
8758:2x 29x 151
2106:2x 3x 3x 3x 3x 13
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 = 18444348/(2x1)
LCM = 18444348/2
LCM = 9222174
Thus, we can understand that the LCM of 8758,2106 is 9222174.
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FAQs on LCM of 8758, 2106
1. What is the LCM of 8758, 2106?
Answer: LCM of 8758, 2106 is 9222174.
2. How to calculate the LCM of 8758, 2106?
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 8758, 2106.
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}.