LCM of 8025, 8052
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 8025, 8052 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 8025, 8052. So, keep reading to learn more.
Given numbers are 8025,8052
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 8025,8052 is 21539100.
Find LCM of 8025,8052 with Prime Factorization
| 3 | 8025, 8052 |
| 2675, 2684 |
Multiply the prime numbers at the bottom and the left side.
3 x 2675 x 2684 = 21539100
Therefore, the lowest common multiple of 8025,8052 is 21539100.
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.
8025 x 8052 = 64617300
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.
8025 : 1, 3, 5, 15, 25, 75, 107, 321, 535, 1605, 2675, 8025
8052 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 61, 66, 122, 132, 183, 244, 366, 671, 732, 1342, 2013, 2684, 4026, 8052
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8025,8052, is 3.
Now, the common factors can be found like this.
8025:3x 5x 5x 107
8052:2x 2x 3x 11x 61
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 = 64617300/(3x1)
LCM = 64617300/3
LCM = 21539100
Thus, we can understand that the LCM of 8025,8052 is 21539100.
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FAQs on LCM of 8025, 8052
1. What is the LCM of 8025, 8052?
Answer: LCM of 8025, 8052 is 21539100.
2. How to calculate the LCM of 8025, 8052?
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 8025, 8052.
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}.