Find the LCM of 3657, 4163 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 3657, 4163. So, keep reading to learn more.
Given numbers are 3657,4163
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 3657,4163 is 661917.
Find LCM of 3657,4163 with Prime Factorization
| 23 | 3657, 4163 |
| 159, 181 |
Multiply the prime numbers at the bottom and the left side.
23 x 159 x 181 = 661917
Therefore, the lowest common multiple of 3657,4163 is 661917.
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.
3657 x 4163 = 15224091
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.
3657 : 1, 3, 23, 53, 69, 159, 1219, 3657
4163 : 1, 23, 181, 4163
23 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3657,4163, is 23.
Now, the common factors can be found like this.
3657:3x 23x 53
4163:23x 181
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 = 15224091/(23x1)
LCM = 15224091/23
LCM = 661917
Thus, we can understand that the LCM of 3657,4163 is 661917.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 3657, 4163?
Answer: LCM of 3657, 4163 is 661917.
2. How to calculate the LCM of 3657, 4163?
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 3657, 4163.
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}.