LCM of 9933, 7029
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 9933, 7029 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 9933, 7029. So, keep reading to learn more.
Given numbers are 9933,7029
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 9933,7029 is 2115729.
Find LCM of 9933,7029 with Prime Factorization
| 3 | 9933, 7029 |
| 11 | 3311, 2343 |
| 301, 213 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 301 x 213 = 2115729
Therefore, the lowest common multiple of 9933,7029 is 2115729.
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.
9933 x 7029 = 69819057
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.
9933 : 1, 3, 7, 11, 21, 33, 43, 77, 129, 231, 301, 473, 903, 1419, 3311, 9933
7029 : 1, 3, 9, 11, 33, 71, 99, 213, 639, 781, 2343, 7029
33 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9933,7029, is 33.
Now, the common factors can be found like this.
9933:3x 7x 11x 43
7029:3x 3x 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 = 69819057/(33x1)
LCM = 69819057/33
LCM = 2115729
Thus, we can understand that the LCM of 9933,7029 is 2115729.
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FAQs on LCM of 9933, 7029
1. What is the LCM of 9933, 7029?
Answer: LCM of 9933, 7029 is 2115729.
2. How to calculate the LCM of 9933, 7029?
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 9933, 7029.
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}.