LCM of 8994, 8073
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 8994, 8073 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 8994, 8073. So, keep reading to learn more.
Given numbers are 8994,8073
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 8994,8073 is 24202854.
Find LCM of 8994,8073 with Prime Factorization
| 3 | 8994, 8073 |
| 2998, 2691 |
Multiply the prime numbers at the bottom and the left side.
3 x 2998 x 2691 = 24202854
Therefore, the lowest common multiple of 8994,8073 is 24202854.
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.
8994 x 8073 = 72608562
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.
8994 : 1, 2, 3, 6, 1499, 2998, 4497, 8994
8073 : 1, 3, 9, 13, 23, 27, 39, 69, 117, 207, 299, 351, 621, 897, 2691, 8073
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8994,8073, is 3.
Now, the common factors can be found like this.
8994:2x 3x 1499
8073:3x 3x 3x 13x 23
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 = 72608562/(3x1)
LCM = 72608562/3
LCM = 24202854
Thus, we can understand that the LCM of 8994,8073 is 24202854.
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FAQs on LCM of 8994, 8073
1. What is the LCM of 8994, 8073?
Answer: LCM of 8994, 8073 is 24202854.
2. How to calculate the LCM of 8994, 8073?
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 8994, 8073.
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}.