Find the LCM of 2023, 7021 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 2023, 7021. So, keep reading to learn more.
Given numbers are 2023,7021
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 2023,7021 is 119357.
Find LCM of 2023,7021 with Prime Factorization
| 7 | 2023, 7021 |
| 17 | 289, 1003 |
| 17, 59 |
Multiply the prime numbers at the bottom and the left side.
7 x 17 x 17 x 59 = 119357
Therefore, the lowest common multiple of 2023,7021 is 119357.
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.
2023 x 7021 = 14203483
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.
2023 : 1, 7, 17, 119, 289, 2023
7021 : 1, 7, 17, 59, 119, 413, 1003, 7021
119 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2023,7021, is 119.
Now, the common factors can be found like this.
2023:7x 17x 17
7021:7x 17x 59
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 = 14203483/(119x1)
LCM = 14203483/119
LCM = 119357
Thus, we can understand that the LCM of 2023,7021 is 119357.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 2023, 7021?
Answer: LCM of 2023, 7021 is 119357.
2. How to calculate the LCM of 2023, 7021?
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 2023, 7021.
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}.