LCM of 3588, 7814
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 3588, 7814 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 3588, 7814. So, keep reading to learn more.
Given numbers are 3588,7814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 3588,7814 is 14018316.
Find LCM of 3588,7814 with Prime Factorization
| 2 | 3588, 7814 |
| 1794, 3907 |
Multiply the prime numbers at the bottom and the left side.
2 x 1794 x 3907 = 14018316
Therefore, the lowest common multiple of 3588,7814 is 14018316.
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.
3588 x 7814 = 28036632
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.
3588 : 1, 2, 3, 4, 6, 12, 13, 23, 26, 39, 46, 52, 69, 78, 92, 138, 156, 276, 299, 598, 897, 1196, 1794, 3588
7814 : 1, 2, 3907, 7814
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3588,7814, is 2.
Now, the common factors can be found like this.
3588:2x 2x 3x 13x 23
7814:2x 3907
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 = 28036632/(2x1)
LCM = 28036632/2
LCM = 14018316
Thus, we can understand that the LCM of 3588,7814 is 14018316.
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FAQs on LCM of 3588, 7814
1. What is the LCM of 3588, 7814?
Answer: LCM of 3588, 7814 is 14018316.
2. How to calculate the LCM of 3588, 7814?
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 3588, 7814.
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}.