Given Numbers are 6989, 6994

We can find the LCM of 6989, 6994 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6989 and 6994

Multiples of 6989 =6989,13978,20967,27956,34945,41934,48923,55912,62901,69890,76879,83868,90857,97846,104835,111824,118813,

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 6989, 6994 which is 48881066

So, the LCM of 6989, 6994 is 48881066.

One method for determining the LCM of 6989 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 6989's prime factorization:

Prime factors of 6989 are 29,241.

6989 = 29¹×241¹

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: 29,241, 2, 13,269

2¹×13¹×29¹×241¹×269¹ = 48881066

This shows that the LCM of 6989 and 6994 is 48881066.

The first step in determining the Least Common Multiple of 6989 and 6994 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6989 and 6994:

Lets look at the first ten multiples of these numbers, 6989 and 6994:

6989,13978,20967,27956,34945,41934,48923,55912,62901,118813 are the first ten multiples of 6989.

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 6989 and 6994, for example, are 83868, 118813, and 111904. 48881066 is the least common multiple since it is the smallest.

6989 and 6994 have an LCM of 48881066.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6989 and 6994, than apply into the LCM equation.

GCF(6989,6994) = 1
LCM(6989,6994) = ( 6989 × 6994) / 1
LCM(6989,6994) = 48881066 / 1
LCM(6989,6994) = 48881066

1. What is the LCM of 6989 and 6994?

The LCM of 6989 and 6994 is 48881066.

2. How to find the lowest common multiple of 6989 and 6994?

To find the lowest common multiple of 6989 and 6994, we have to get the multip;es of both numbers and identify the least common multiple in them which is 48881066.

3. What are the Factors of 6989?

Answer: Factors of 6989 are 1, 29, 241, 6989. There are 4 integers that are factors of 6989. The greatest factor of 6989 is 6989.

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 6989 and 6994 = 48881066

Step 1: Find the prime factorization of 6989

6989 = 29 x 241

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 = 48881066 = 2 x 13 x 29 x 241 x 269

Step 4: Therefore, the least common multiple of 6989 and 6994 is 48881066.