Find the LCM of 5428, 6233 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 5428, 6233. So, keep reading to learn more.
Given numbers are 5428,6233
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 5428,6233 is 1470988.
Find LCM of 5428,6233 with Prime Factorization
| 23 | 5428, 6233 |
| 236, 271 |
Multiply the prime numbers at the bottom and the left side.
23 x 236 x 271 = 1470988
Therefore, the lowest common multiple of 5428,6233 is 1470988.
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.
5428 x 6233 = 33832724
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.
5428 : 1, 2, 4, 23, 46, 59, 92, 118, 236, 1357, 2714, 5428
6233 : 1, 23, 271, 6233
23 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5428,6233, is 23.
Now, the common factors can be found like this.
5428:2x 2x 23x 59
6233:23x 271
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 = 33832724/(23x1)
LCM = 33832724/23
LCM = 1470988
Thus, we can understand that the LCM of 5428,6233 is 1470988.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 5428, 6233?
Answer: LCM of 5428, 6233 is 1470988.
2. How to calculate the LCM of 5428, 6233?
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 5428, 6233.
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}.