Given Numbers are 6994, 6999

We can find the LCM of 6994, 6999 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6994 and 6999

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

Multiples of 6999 =6999,13998,20997,27996,34995,41994,48993,55992,62991,69990,76989,83988,90987,97986,104985,111984,118983,

Now, get the least common multiple of 6994, 6999 which is 48951006

So, the LCM of 6994, 6999 is 48951006.

One method for determining the LCM of 6994 and 6999 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 6994's prime factorization:

Prime factors of 6994 are 2, 13,269.

6994 = 2¹×13¹×269¹

And this is 6999's prime factorization:

Prime factors of 6999 are 3,2333.

6999 = 3¹×2333¹

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, 13,269, 3,2333

2¹×3¹×13¹×269¹×2333¹ = 48951006

This shows that the LCM of 6994 and 6999 is 48951006.

The first step in determining the Least Common Multiple of 6994 and 6999 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6994 and 6999:

Lets look at the first ten multiples of these numbers, 6994 and 6999:

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

6999,13998,20997,27996,34995,41994,48993,55992,62991,118983 are the first ten multiples of 6999.

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 6994 and 6999, for example, are 83928, 118898, and 111984. 48951006 is the least common multiple since it is the smallest.

6994 and 6999 have an LCM of 48951006.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6994 and 6999, than apply into the LCM equation.

GCF(6994,6999) = 1
LCM(6994,6999) = ( 6994 × 6999) / 1
LCM(6994,6999) = 48951006 / 1
LCM(6994,6999) = 48951006

1. What is the LCM of 6994 and 6999?

The LCM of 6994 and 6999 is 48951006.

2. How to find the lowest common multiple of 6994 and 6999?

To find the lowest common multiple of 6994 and 6999, we have to get the multip;es of both numbers and identify the least common multiple in them which is 48951006.

3. 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.

4. What are the Factors of 6999?

Answer: Factors of 6999 are 1, 3, 2333, 6999. There are 4 integers that are factors of 6999. The greatest factor of 6999 is 6999.

Answer:

Least Common Multiple of 6994 and 6999 = 48951006

Step 1: Find the prime factorization of 6994

6994 = 2 x 13 x 269

Step 2: Find the prime factorization of 6999

6999 = 3 x 2333

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

LCM = 48951006 = 2 x 3 x 13 x 269 x 2333

Step 4: Therefore, the least common multiple of 6994 and 6999 is 48951006.