LCM of 5004, 5494
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 5004, 5494 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 5004, 5494. So, keep reading to learn more.
Given numbers are 5004,5494
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 5004,5494 is 13745988.
Find LCM of 5004,5494 with Prime Factorization
| 2 | 5004, 5494 |
| 2502, 2747 |
Multiply the prime numbers at the bottom and the left side.
2 x 2502 x 2747 = 13745988
Therefore, the lowest common multiple of 5004,5494 is 13745988.
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.
5004 x 5494 = 27491976
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.
5004 : 1, 2, 3, 4, 6, 9, 12, 18, 36, 139, 278, 417, 556, 834, 1251, 1668, 2502, 5004
5494 : 1, 2, 41, 67, 82, 134, 2747, 5494
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5004,5494, is 2.
Now, the common factors can be found like this.
5004:2x 2x 3x 3x 139
5494:2x 41x 67
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 = 27491976/(2x1)
LCM = 27491976/2
LCM = 13745988
Thus, we can understand that the LCM of 5004,5494 is 13745988.
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FAQs on LCM of 5004, 5494
1. What is the LCM of 5004, 5494?
Answer: LCM of 5004, 5494 is 13745988.
2. How to calculate the LCM of 5004, 5494?
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 5004, 5494.
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}.