Find the LCM of 2258, 9956 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 2258, 9956. So, keep reading to learn more.
Given numbers are 2258,9956
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 2258,9956 is 11240324.
Find LCM of 2258,9956 with Prime Factorization
| 2 | 2258, 9956 |
| 1129, 4978 |
Multiply the prime numbers at the bottom and the left side.
2 x 1129 x 4978 = 11240324
Therefore, the lowest common multiple of 2258,9956 is 11240324.
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.
2258 x 9956 = 22480648
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.
2258 : 1, 2, 1129, 2258
9956 : 1, 2, 4, 19, 38, 76, 131, 262, 524, 2489, 4978, 9956
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2258,9956, is 2.
Now, the common factors can be found like this.
2258:2x 1129
9956:2x 2x 19x 131
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 = 22480648/(2x1)
LCM = 22480648/2
LCM = 11240324
Thus, we can understand that the LCM of 2258,9956 is 11240324.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 2258, 9956?
Answer: LCM of 2258, 9956 is 11240324.
2. How to calculate the LCM of 2258, 9956?
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 2258, 9956.
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}.