Given Numbers are 6986, 6991

We can find the LCM of 6986, 6991 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6986 and 6991

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

Multiples of 6991 =6991,13982,20973,27964,34955,41946,48937,55928,62919,69910,76901,83892,90883,97874,104865,111856,118847,

Now, get the least common multiple of 6986, 6991 which is 48839126

So, the LCM of 6986, 6991 is 48839126.

One method for determining the LCM of 6986 and 6991 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 6991's prime factorization:

Prime factors of 6991 are 6991.

6991 = 6991¹

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, 7,499,6991

2¹×7¹×499¹×6991¹ = 48839126

This shows that the LCM of 6986 and 6991 is 48839126.

The first step in determining the Least Common Multiple of 6986 and 6991 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6986 and 6991:

Lets look at the first ten multiples of these numbers, 6986 and 6991:

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

6991,13982,20973,27964,34955,41946,48937,55928,62919,118847 are the first ten multiples of 6991.

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 6991, for example, are 83832, 118762, and 111856. 48839126 is the least common multiple since it is the smallest.

6986 and 6991 have an LCM of 48839126.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6986 and 6991, than apply into the LCM equation.

GCF(6986,6991) = 1
LCM(6986,6991) = ( 6986 × 6991) / 1
LCM(6986,6991) = 48839126 / 1
LCM(6986,6991) = 48839126

1. What is the LCM of 6986 and 6991?

The LCM of 6986 and 6991 is 48839126.

2. How to find the lowest common multiple of 6986 and 6991?

To find the lowest common multiple of 6986 and 6991, we have to get the multip;es of both numbers and identify the least common multiple in them which is 48839126.

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 6991?

Answer: Factors of 6991 are 1, 6991. There are 2 integers that are factors of 6991. The greatest factor of 6991 is 6991.

Answer:

Least Common Multiple of 6986 and 6991 = 48839126

Step 1: Find the prime factorization of 6986

6986 = 2 x 7 x 499

Step 2: Find the prime factorization of 6991

6991 = 6991

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

LCM = 48839126 = 2 x 7 x 499 x 6991

Step 4: Therefore, the least common multiple of 6986 and 6991 is 48839126.