LCM of 4058, 7038
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 4058, 7038 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 4058, 7038. So, keep reading to learn more.
Given numbers are 4058,7038
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 4058,7038 is 14280102.
Find LCM of 4058,7038 with Prime Factorization
| 2 | 4058, 7038 |
| 2029, 3519 |
Multiply the prime numbers at the bottom and the left side.
2 x 2029 x 3519 = 14280102
Therefore, the lowest common multiple of 4058,7038 is 14280102.
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.
4058 x 7038 = 28560204
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.
4058 : 1, 2, 2029, 4058
7038 : 1, 2, 3, 6, 9, 17, 18, 23, 34, 46, 51, 69, 102, 138, 153, 207, 306, 391, 414, 782, 1173, 2346, 3519, 7038
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4058,7038, is 2.
Now, the common factors can be found like this.
4058:2x 2029
7038:2x 3x 3x 17x 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 = 28560204/(2x1)
LCM = 28560204/2
LCM = 14280102
Thus, we can understand that the LCM of 4058,7038 is 14280102.
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FAQs on LCM of 4058, 7038
1. What is the LCM of 4058, 7038?
Answer: LCM of 4058, 7038 is 14280102.
2. How to calculate the LCM of 4058, 7038?
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 4058, 7038.
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}.