LCM of 8034, 7923
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 8034, 7923 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 8034, 7923. So, keep reading to learn more.
Given numbers are 8034,7923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 8034,7923 is 21217794.
Find LCM of 8034,7923 with Prime Factorization
| 3 | 8034, 7923 |
| 2678, 2641 |
Multiply the prime numbers at the bottom and the left side.
3 x 2678 x 2641 = 21217794
Therefore, the lowest common multiple of 8034,7923 is 21217794.
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.
8034 x 7923 = 63653382
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.
8034 : 1, 2, 3, 6, 13, 26, 39, 78, 103, 206, 309, 618, 1339, 2678, 4017, 8034
7923 : 1, 3, 19, 57, 139, 417, 2641, 7923
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8034,7923, is 3.
Now, the common factors can be found like this.
8034:2x 3x 13x 103
7923:3x 19x 139
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 = 63653382/(3x1)
LCM = 63653382/3
LCM = 21217794
Thus, we can understand that the LCM of 8034,7923 is 21217794.
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FAQs on LCM of 8034, 7923
1. What is the LCM of 8034, 7923?
Answer: LCM of 8034, 7923 is 21217794.
2. How to calculate the LCM of 8034, 7923?
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 8034, 7923.
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}.