Find the LCM of 8023, 4331 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 8023, 4331. So, keep reading to learn more.
Given numbers are 8023,4331
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 8023,4331 is 489403.
Find LCM of 8023,4331 with Prime Factorization
| 71 | 8023, 4331 |
| 113, 61 |
Multiply the prime numbers at the bottom and the left side.
71 x 113 x 61 = 489403
Therefore, the lowest common multiple of 8023,4331 is 489403.
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.
8023 x 4331 = 34747613
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.
8023 : 1, 71, 113, 8023
4331 : 1, 61, 71, 4331
71 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8023,4331, is 71.
Now, the common factors can be found like this.
8023:71x 113
4331:61x 71
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 = 34747613/(71x1)
LCM = 34747613/71
LCM = 489403
Thus, we can understand that the LCM of 8023,4331 is 489403.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 8023, 4331?
Answer: LCM of 8023, 4331 is 489403.
2. How to calculate the LCM of 8023, 4331?
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 8023, 4331.
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}.