LCM of 2123, 3036
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 2123, 3036 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 2123, 3036. So, keep reading to learn more.
Given numbers are 2123,3036
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 2123,3036 is 585948.
Find LCM of 2123,3036 with Prime Factorization
| 11 | 2123, 3036 |
| 193, 276 |
Multiply the prime numbers at the bottom and the left side.
11 x 193 x 276 = 585948
Therefore, the lowest common multiple of 2123,3036 is 585948.
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.
2123 x 3036 = 6445428
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.
2123 : 1, 11, 193, 2123
3036 : 1, 2, 3, 4, 6, 11, 12, 22, 23, 33, 44, 46, 66, 69, 92, 132, 138, 253, 276, 506, 759, 1012, 1518, 3036
11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2123,3036, is 11.
Now, the common factors can be found like this.
2123:11x 193
3036:2x 2x 3x 11x 23
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 = 6445428/(11x1)
LCM = 6445428/11
LCM = 585948
Thus, we can understand that the LCM of 2123,3036 is 585948.
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FAQs on LCM of 2123, 3036
1. What is the LCM of 2123, 3036?
Answer: LCM of 2123, 3036 is 585948.
2. How to calculate the LCM of 2123, 3036?
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 2123, 3036.
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}.