Find the LCM of 5909, 5662 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 5909, 5662. So, keep reading to learn more.
Given numbers are 5909,5662
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 5909,5662 is 1760882.
Find LCM of 5909,5662 with Prime Factorization
| 19 | 5909, 5662 |
| 311, 298 |
Multiply the prime numbers at the bottom and the left side.
19 x 311 x 298 = 1760882
Therefore, the lowest common multiple of 5909,5662 is 1760882.
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.
5909 x 5662 = 33456758
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.
5909 : 1, 19, 311, 5909
5662 : 1, 2, 19, 38, 149, 298, 2831, 5662
19 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5909,5662, is 19.
Now, the common factors can be found like this.
5909:19x 311
5662:2x 19x 149
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 = 33456758/(19x1)
LCM = 33456758/19
LCM = 1760882
Thus, we can understand that the LCM of 5909,5662 is 1760882.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 5909, 5662?
Answer: LCM of 5909, 5662 is 1760882.
2. How to calculate the LCM of 5909, 5662?
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 5909, 5662.
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}.