Find the LCM of 2034, 6376 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 2034, 6376. So, keep reading to learn more.
Given numbers are 2034,6376
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 2034,6376 is 6484392.
Find LCM of 2034,6376 with Prime Factorization
| 2 | 2034, 6376 |
| 1017, 3188 |
Multiply the prime numbers at the bottom and the left side.
2 x 1017 x 3188 = 6484392
Therefore, the lowest common multiple of 2034,6376 is 6484392.
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.
2034 x 6376 = 12968784
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.
2034 : 1, 2, 3, 6, 9, 18, 113, 226, 339, 678, 1017, 2034
6376 : 1, 2, 4, 8, 797, 1594, 3188, 6376
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2034,6376, is 2.
Now, the common factors can be found like this.
2034:2x 3x 3x 113
6376:2x 2x 2x 797
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 = 12968784/(2x1)
LCM = 12968784/2
LCM = 6484392
Thus, we can understand that the LCM of 2034,6376 is 6484392.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 2034, 6376?
Answer: LCM of 2034, 6376 is 6484392.
2. How to calculate the LCM of 2034, 6376?
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 2034, 6376.
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}.