Find the LCM of 5609, 8591 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 5609, 8591. So, keep reading to learn more.
Given numbers are 5609,8591
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 5609,8591 is 678689.
Find LCM of 5609,8591 with Prime Factorization
| 71 | 5609, 8591 |
| 79, 121 |
Multiply the prime numbers at the bottom and the left side.
71 x 79 x 121 = 678689
Therefore, the lowest common multiple of 5609,8591 is 678689.
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.
5609 x 8591 = 48186919
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.
5609 : 1, 71, 79, 5609
8591 : 1, 11, 71, 121, 781, 8591
71 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5609,8591, is 71.
Now, the common factors can be found like this.
5609:71x 79
8591:11x 11x 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 = 48186919/(71x1)
LCM = 48186919/71
LCM = 678689
Thus, we can understand that the LCM of 5609,8591 is 678689.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 5609, 8591?
Answer: LCM of 5609, 8591 is 678689.
2. How to calculate the LCM of 5609, 8591?
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 5609, 8591.
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}.