LCM of 2548, 6202
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 2548, 6202 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 2548, 6202. So, keep reading to learn more.
Given numbers are 2548,6202
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 2548,6202 is 1128764.
Find LCM of 2548,6202 with Prime Factorization
| 2 | 2548, 6202 |
| 7 | 1274, 3101 |
| 182, 443 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 182 x 443 = 1128764
Therefore, the lowest common multiple of 2548,6202 is 1128764.
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.
2548 x 6202 = 15802696
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.
2548 : 1, 2, 4, 7, 13, 14, 26, 28, 49, 52, 91, 98, 182, 196, 364, 637, 1274, 2548
6202 : 1, 2, 7, 14, 443, 886, 3101, 6202
14 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2548,6202, is 14.
Now, the common factors can be found like this.
2548:2x 2x 7x 7x 13
6202:2x 7x 443
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 = 15802696/(14x1)
LCM = 15802696/14
LCM = 1128764
Thus, we can understand that the LCM of 2548,6202 is 1128764.
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FAQs on LCM of 2548, 6202
1. What is the LCM of 2548, 6202?
Answer: LCM of 2548, 6202 is 1128764.
2. How to calculate the LCM of 2548, 6202?
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 2548, 6202.
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}.