LCM of 6422, 5428
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 6422, 5428 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 6422, 5428. So, keep reading to learn more.
Given numbers are 6422,5428
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 6422,5428 is 17429308.
Find LCM of 6422,5428 with Prime Factorization
| 2 | 6422, 5428 |
| 3211, 2714 |
Multiply the prime numbers at the bottom and the left side.
2 x 3211 x 2714 = 17429308
Therefore, the lowest common multiple of 6422,5428 is 17429308.
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.
6422 x 5428 = 34858616
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.
6422 : 1, 2, 13, 19, 26, 38, 169, 247, 338, 494, 3211, 6422
5428 : 1, 2, 4, 23, 46, 59, 92, 118, 236, 1357, 2714, 5428
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6422,5428, is 2.
Now, the common factors can be found like this.
6422:2x 13x 13x 19
5428:2x 2x 23x 59
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 = 34858616/(2x1)
LCM = 34858616/2
LCM = 17429308
Thus, we can understand that the LCM of 6422,5428 is 17429308.
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FAQs on LCM of 6422, 5428
1. What is the LCM of 6422, 5428?
Answer: LCM of 6422, 5428 is 17429308.
2. How to calculate the LCM of 6422, 5428?
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 6422, 5428.
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}.