LCM of 9582, 6144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 9582, 6144 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 9582, 6144. So, keep reading to learn more.
Given numbers are 9582,6144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 9582,6144 is 9811968.
Find LCM of 9582,6144 with Prime Factorization
| 2 | 9582, 6144 |
| 3 | 4791, 3072 |
| 1597, 1024 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 1597 x 1024 = 9811968
Therefore, the lowest common multiple of 9582,6144 is 9811968.
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.
9582 x 6144 = 58871808
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.
9582 : 1, 2, 3, 6, 1597, 3194, 4791, 9582
6144 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1024, 1536, 2048, 3072, 6144
6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9582,6144, is 6.
Now, the common factors can be found like this.
9582:2x 3x 1597
6144:2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 3
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 = 58871808/(6x1)
LCM = 58871808/6
LCM = 9811968
Thus, we can understand that the LCM of 9582,6144 is 9811968.
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FAQs on LCM of 9582, 6144
1. What is the LCM of 9582, 6144?
Answer: LCM of 9582, 6144 is 9811968.
2. How to calculate the LCM of 9582, 6144?
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 9582, 6144.
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}.