Given Numbers are 6997, 7001

We can find the LCM of 6997, 7001 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6997 and 7001

Multiples of 6997 =6997,13994,20991,27988,34985,41982,48979,55976,62973,69970,76967,83964,90961,97958,104955,111952,118949,

Multiples of 7001 =7001,14002,21003,28004,35005,42006,49007,56008,63009,70010,77011,84012,91013,98014,105015,112016,119017,

Now, get the least common multiple of 6997, 7001 which is 48985997

So, the LCM of 6997, 7001 is 48985997.

One method for determining the LCM of 6997 and 7001 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 6997's prime factorization:

Prime factors of 6997 are 6997.

6997 = 6997¹

And this is 7001's prime factorization:

Prime factors of 7001 are 7001.

7001 = 7001¹

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:6997,7001

6997¹×7001¹ = 48985997

This shows that the LCM of 6997 and 7001 is 48985997.

The first step in determining the Least Common Multiple of 6997 and 7001 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6997 and 7001:

Lets look at the first ten multiples of these numbers, 6997 and 7001:

6997,13994,20991,27988,34985,41982,48979,55976,62973,118949 are the first ten multiples of 6997.

7001,14002,21003,28004,35005,42006,49007,56008,63009,119017 are the first ten multiples of 7001.

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 6997 and 7001, for example, are 83964, 118949, and 112016. 48985997 is the least common multiple since it is the smallest.

6997 and 7001 have an LCM of 48985997.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6997 and 7001, than apply into the LCM equation.

GCF(6997,7001) = 1
LCM(6997,7001) = ( 6997 × 7001) / 1
LCM(6997,7001) = 48985997 / 1
LCM(6997,7001) = 48985997

1. What is the LCM of 6997 and 7001?

The LCM of 6997 and 7001 is 48985997.

2. How to find the lowest common multiple of 6997 and 7001?

To find the lowest common multiple of 6997 and 7001, we have to get the multip;es of both numbers and identify the least common multiple in them which is 48985997.

3. What are the Factors of 6997?

Answer: Factors of 6997 are 1, 6997. There are 2 integers that are factors of 6997. The greatest factor of 6997 is 6997.

4. What are the Factors of 7001?

Answer: Factors of 7001 are 1, 7001. There are 2 integers that are factors of 7001. The greatest factor of 7001 is 7001.

Answer:

Least Common Multiple of 6997 and 7001 = 48985997

Step 1: Find the prime factorization of 6997

6997 = 6997

Step 2: Find the prime factorization of 7001

7001 = 7001

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

LCM = 48985997 = 6997 x 7001

Step 4: Therefore, the least common multiple of 6997 and 7001 is 48985997.