LCM of 8078, 8056
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 8078, 8056 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 8078, 8056. So, keep reading to learn more.
Given numbers are 8078,8056
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 8078,8056 is 32538184.
Find LCM of 8078,8056 with Prime Factorization
| 2 | 8078, 8056 |
| 4039, 4028 |
Multiply the prime numbers at the bottom and the left side.
2 x 4039 x 4028 = 32538184
Therefore, the lowest common multiple of 8078,8056 is 32538184.
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.
8078 x 8056 = 65076368
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.
8078 : 1, 2, 7, 14, 577, 1154, 4039, 8078
8056 : 1, 2, 4, 8, 19, 38, 53, 76, 106, 152, 212, 424, 1007, 2014, 4028, 8056
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8078,8056, is 2.
Now, the common factors can be found like this.
8078:2x 7x 577
8056:2x 2x 2x 19x 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 = 65076368/(2x1)
LCM = 65076368/2
LCM = 32538184
Thus, we can understand that the LCM of 8078,8056 is 32538184.
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FAQs on LCM of 8078, 8056
1. What is the LCM of 8078, 8056?
Answer: LCM of 8078, 8056 is 32538184.
2. How to calculate the LCM of 8078, 8056?
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 8078, 8056.
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}.