LCM of 4646, 8162
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 4646, 8162 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 4646, 8162. So, keep reading to learn more.
Given numbers are 4646,8162
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 4646,8162 is 18960326.
Find LCM of 4646,8162 with Prime Factorization
| 2 | 4646, 8162 |
| 2323, 4081 |
Multiply the prime numbers at the bottom and the left side.
2 x 2323 x 4081 = 18960326
Therefore, the lowest common multiple of 4646,8162 is 18960326.
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.
4646 x 8162 = 37920652
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.
4646 : 1, 2, 23, 46, 101, 202, 2323, 4646
8162 : 1, 2, 7, 11, 14, 22, 53, 77, 106, 154, 371, 583, 742, 1166, 4081, 8162
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4646,8162, is 2.
Now, the common factors can be found like this.
4646:2x 23x 101
8162:2x 7x 11x 53
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 = 37920652/(2x1)
LCM = 37920652/2
LCM = 18960326
Thus, we can understand that the LCM of 4646,8162 is 18960326.
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FAQs on LCM of 4646, 8162
1. What is the LCM of 4646, 8162?
Answer: LCM of 4646, 8162 is 18960326.
2. How to calculate the LCM of 4646, 8162?
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 4646, 8162.
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}.