LCM of 4570, 8602
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 4570, 8602 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 4570, 8602. So, keep reading to learn more.
Given numbers are 4570,8602
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 4570,8602 is 19655570.
Find LCM of 4570,8602 with Prime Factorization
| 2 | 4570, 8602 |
| 2285, 4301 |
Multiply the prime numbers at the bottom and the left side.
2 x 2285 x 4301 = 19655570
Therefore, the lowest common multiple of 4570,8602 is 19655570.
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.
4570 x 8602 = 39311140
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.
4570 : 1, 2, 5, 10, 457, 914, 2285, 4570
8602 : 1, 2, 11, 17, 22, 23, 34, 46, 187, 253, 374, 391, 506, 782, 4301, 8602
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4570,8602, is 2.
Now, the common factors can be found like this.
4570:2x 5x 457
8602:2x 11x 17x 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 = 39311140/(2x1)
LCM = 39311140/2
LCM = 19655570
Thus, we can understand that the LCM of 4570,8602 is 19655570.
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FAQs on LCM of 4570, 8602
1. What is the LCM of 4570, 8602?
Answer: LCM of 4570, 8602 is 19655570.
2. How to calculate the LCM of 4570, 8602?
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 4570, 8602.
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}.