LCM of 9912, 7021
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 9912, 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 9912, 7021. So, keep reading to learn more.
Given numbers are 9912,7021
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 9912,7021 is 168504.
Find LCM of 9912,7021 with Prime Factorization
| 7 | 9912, 7021 |
| 59 | 1416, 1003 |
| 24, 17 |
Multiply the prime numbers at the bottom and the left side.
7 x 59 x 24 x 17 = 168504
Therefore, the lowest common multiple of 9912,7021 is 168504.
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.
9912 x 7021 = 69592152
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.
9912 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 59, 84, 118, 168, 177, 236, 354, 413, 472, 708, 826, 1239, 1416, 1652, 2478, 3304, 4956, 9912
7021 : 1, 7, 17, 59, 119, 413, 1003, 7021
413 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9912,7021, is 413.
Now, the common factors can be found like this.
9912:2x 2x 2x 3x 7x 59
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 = 69592152/(413x1)
LCM = 69592152/413
LCM = 168504
Thus, we can understand that the LCM of 9912,7021 is 168504.
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FAQs on LCM of 9912, 7021
1. What is the LCM of 9912, 7021?
Answer: LCM of 9912, 7021 is 168504.
2. How to calculate the LCM of 9912, 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 9912, 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}.