Given Numbers are 6986, 6994

We can find the LCM of 6986, 6994 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6986 and 6994

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

Multiples of 6994 =6994,13988,20982,27976,34970,41964,48958,55952,62946,69940,76934,83928,90922,97916,104910,111904,118898,

Now, get the least common multiple of 6986, 6994 which is 24430042

So, the LCM of 6986, 6994 is 24430042.

One method for determining the LCM of 6986 and 6994 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 6986's prime factorization:

Prime factors of 6986 are 2, 7,499.

6986 = 2¹×7¹×499¹

And this is 6994's prime factorization:

Prime factors of 6994 are 2, 13,269.

6994 = 2¹×13¹×269¹

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, 7,499, 13,269

2¹×7¹×13¹×269¹×499¹ = 24430042

This shows that the LCM of 6986 and 6994 is 24430042.

The first step in determining the Least Common Multiple of 6986 and 6994 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6986 and 6994:

Lets look at the first ten multiples of these numbers, 6986 and 6994:

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

6994,13988,20982,27976,34970,41964,48958,55952,62946,118898 are the first ten multiples of 6994.

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 6986 and 6994, for example, are 83832, 118762, and 111904. 24430042 is the least common multiple since it is the smallest.

6986 and 6994 have an LCM of 24430042.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6986 and 6994, than apply into the LCM equation.

GCF(6986,6994) = 2
LCM(6986,6994) = ( 6986 × 6994) / 2
LCM(6986,6994) = 48860084 / 2
LCM(6986,6994) = 24430042

1. What is the LCM of 6986 and 6994?

The LCM of 6986 and 6994 is 24430042.

2. How to find the lowest common multiple of 6986 and 6994?

To find the lowest common multiple of 6986 and 6994, we have to get the multip;es of both numbers and identify the least common multiple in them which is 24430042.

3. 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.

4. What are the Factors of 6994?

Answer: Factors of 6994 are 1, 2, 13, 26, 269, 538, 3497, 6994. There are 8 integers that are factors of 6994. The greatest factor of 6994 is 6994.

Answer:

Least Common Multiple of 6986 and 6994 = 24430042

Step 1: Find the prime factorization of 6986

6986 = 2 x 7 x 499

Step 2: Find the prime factorization of 6994

6994 = 2 x 13 x 269

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

LCM = 24430042 = 2 x 7 x 13 x 269 x 499

Step 4: Therefore, the least common multiple of 6986 and 6994 is 24430042.