Find the LCM of 2012, 6036 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 2012, 6036. So, keep reading to learn more.
Given numbers are 2012,6036
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 2012,6036 is 6036.
Find LCM of 2012,6036 with Prime Factorization
| 2 | 2012, 6036 |
| 2 | 1006, 3018 |
| 503 | 503, 1509 |
| 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 503 x 1 x 3 = 6036
Therefore, the lowest common multiple of 2012,6036 is 6036.
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.
2012 x 6036 = 12144432
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.
2012 : 1, 2, 4, 503, 1006, 2012
6036 : 1, 2, 3, 4, 6, 12, 503, 1006, 1509, 2012, 3018, 6036
2012 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2012,6036, is 2012.
Now, the common factors can be found like this.
2012:2x 2x 503
6036:2x 2x 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 = 12144432/(2012x1)
LCM = 12144432/2012
LCM = 6036
Thus, we can understand that the LCM of 2012,6036 is 6036.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 2012, 6036?
Answer: LCM of 2012, 6036 is 6036.
2. How to calculate the LCM of 2012, 6036?
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 2012, 6036.
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}.