Given Numbers are 6982, 6986

We can find the LCM of 6982, 6986 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6982 and 6986

Multiples of 6982 =6982,13964,20946,27928,34910,41892,48874,55856,62838,69820,76802,83784,90766,97748,104730,111712,118694,

Multiples of 6986 =6986,13972,20958,27944,34930,41916,48902,55888,62874,69860,76846,83832,90818,97804,104790,111776,118762,

Now, get the least common multiple of 6982, 6986 which is 24388126

So, the LCM of 6982, 6986 is 24388126.

One method for determining the LCM of 6982 and 6986 is to compare the prime factorization of each number. You can find the prime factorization for each number by following the instructions below:

Here is 6982's prime factorization:

Prime factors of 6982 are 2,3491.

6982 = 2¹×3491¹

And this is 6986's prime factorization:

Prime factors of 6986 are 2, 7,499.

6986 = 2¹×7¹×499¹

When comparing the prime factorization of these two numbers, look for the highest power to which each prime factor is raised. In this case, the following primary factors must be considered: 2,3491, 7,499

2¹×7¹×499¹×3491¹ = 24388126

This shows that the LCM of 6982 and 6986 is 24388126.

The first step in determining the Least Common Multiple of 6982 and 6986 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6982 and 6986:

Lets look at the first ten multiples of these numbers, 6982 and 6986:

6982,13964,20946,27928,34910,41892,48874,55856,62838,118694 are the first ten multiples of 6982.

6986,13972,20958,27944,34930,41916,48902,55888,62874,118762 are the first ten multiples of 6986.

You can continue to list the multiples of these numbers until you find a match. Once you have found a match, or several matches, the Least Common Multiple is the smallest of these matches. The first matching multiple(s) of 6982 and 6986, for example, are 83784, 118694, and 111776. 24388126 is the least common multiple since it is the smallest.

6982 and 6986 have an LCM of 24388126.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6982 and 6986, than apply into the LCM equation.

GCF(6982,6986) = 2
LCM(6982,6986) = ( 6982 × 6986) / 2
LCM(6982,6986) = 48776252 / 2
LCM(6982,6986) = 24388126

1. What is the LCM of 6982 and 6986?

The LCM of 6982 and 6986 is 24388126.

2. How to find the lowest common multiple of 6982 and 6986?

To find the lowest common multiple of 6982 and 6986, we have to get the multip;es of both numbers and identify the least common multiple in them which is 24388126.

3. What are the Factors of 6982?

Answer: Factors of 6982 are 1, 2, 3491, 6982. There are 4 integers that are factors of 6982. The greatest factor of 6982 is 6982.

4. What are the Factors of 6986?

Answer: Factors of 6986 are 1, 2, 7, 14, 499, 998, 3493, 6986. There are 8 integers that are factors of 6986. The greatest factor of 6986 is 6986.

Answer:

Least Common Multiple of 6982 and 6986 = 24388126

Step 1: Find the prime factorization of 6982

6982 = 2 x 3491

Step 2: Find the prime factorization of 6986

6986 = 2 x 7 x 499

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 24388126 = 2 x 7 x 499 x 3491

Step 4: Therefore, the least common multiple of 6982 and 6986 is 24388126.