LCM of 8109, 8142
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 8109, 8142 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 8109, 8142. So, keep reading to learn more.
Given numbers are 8109,8142
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 8109,8142 is 22007826.
Find LCM of 8109,8142 with Prime Factorization
| 3 | 8109, 8142 |
| 2703, 2714 |
Multiply the prime numbers at the bottom and the left side.
3 x 2703 x 2714 = 22007826
Therefore, the lowest common multiple of 8109,8142 is 22007826.
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.
8109 x 8142 = 66023478
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.
8109 : 1, 3, 9, 17, 51, 53, 153, 159, 477, 901, 2703, 8109
8142 : 1, 2, 3, 6, 23, 46, 59, 69, 118, 138, 177, 354, 1357, 2714, 4071, 8142
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8109,8142, is 3.
Now, the common factors can be found like this.
8109:3x 3x 17x 53
8142:2x 3x 23x 59
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 = 66023478/(3x1)
LCM = 66023478/3
LCM = 22007826
Thus, we can understand that the LCM of 8109,8142 is 22007826.
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FAQs on LCM of 8109, 8142
1. What is the LCM of 8109, 8142?
Answer: LCM of 8109, 8142 is 22007826.
2. How to calculate the LCM of 8109, 8142?
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 8109, 8142.
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}.