LCM of 9078, 9054
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 9078, 9054 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 9078, 9054. So, keep reading to learn more.
Given numbers are 9078,9054
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 9078,9054 is 13698702.
Find LCM of 9078,9054 with Prime Factorization
| 2 | 9078, 9054 |
| 3 | 4539, 4527 |
| 1513, 1509 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 1513 x 1509 = 13698702
Therefore, the lowest common multiple of 9078,9054 is 13698702.
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.
9078 x 9054 = 82192212
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.
9078 : 1, 2, 3, 6, 17, 34, 51, 89, 102, 178, 267, 534, 1513, 3026, 4539, 9078
9054 : 1, 2, 3, 6, 9, 18, 503, 1006, 1509, 3018, 4527, 9054
6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9078,9054, is 6.
Now, the common factors can be found like this.
9078:2x 3x 17x 89
9054:2x 3x 3x 503
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 = 82192212/(6x1)
LCM = 82192212/6
LCM = 13698702
Thus, we can understand that the LCM of 9078,9054 is 13698702.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 9078, 9054
1. What is the LCM of 9078, 9054?
Answer: LCM of 9078, 9054 is 13698702.
2. How to calculate the LCM of 9078, 9054?
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 9078, 9054.
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}.