LCM of 8382, 6148
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 8382, 6148 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 8382, 6148. So, keep reading to learn more.
Given numbers are 8382,6148
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 8382,6148 is 25766268.
Find LCM of 8382,6148 with Prime Factorization
| 2 | 8382, 6148 |
| 4191, 3074 |
Multiply the prime numbers at the bottom and the left side.
2 x 4191 x 3074 = 25766268
Therefore, the lowest common multiple of 8382,6148 is 25766268.
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.
8382 x 6148 = 51532536
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.
8382 : 1, 2, 3, 6, 11, 22, 33, 66, 127, 254, 381, 762, 1397, 2794, 4191, 8382
6148 : 1, 2, 4, 29, 53, 58, 106, 116, 212, 1537, 3074, 6148
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8382,6148, is 2.
Now, the common factors can be found like this.
8382:2x 3x 11x 127
6148:2x 2x 29x 53
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 = 51532536/(2x1)
LCM = 51532536/2
LCM = 25766268
Thus, we can understand that the LCM of 8382,6148 is 25766268.
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FAQs on LCM of 8382, 6148
1. What is the LCM of 8382, 6148?
Answer: LCM of 8382, 6148 is 25766268.
2. How to calculate the LCM of 8382, 6148?
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 8382, 6148.
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}.