Given Numbers are 6989, 6995

We can find the LCM of 6989, 6995 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6989 and 6995

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

Multiples of 6995 =6995,13990,20985,27980,34975,41970,48965,55960,62955,69950,76945,83940,90935,97930,104925,111920,118915,

Now, get the least common multiple of 6989, 6995 which is 48888055

So, the LCM of 6989, 6995 is 48888055.

One method for determining the LCM of 6989 and 6995 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 6995's prime factorization:

Prime factors of 6995 are 5,1399.

6995 = 5¹×1399¹

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, 5,1399

5¹×29¹×241¹×1399¹ = 48888055

This shows that the LCM of 6989 and 6995 is 48888055.

The first step in determining the Least Common Multiple of 6989 and 6995 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6989 and 6995:

Lets look at the first ten multiples of these numbers, 6989 and 6995:

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

6995,13990,20985,27980,34975,41970,48965,55960,62955,118915 are the first ten multiples of 6995.

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 6995, for example, are 83868, 118813, and 111920. 48888055 is the least common multiple since it is the smallest.

6989 and 6995 have an LCM of 48888055.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6989 and 6995, than apply into the LCM equation.

GCF(6989,6995) = 1
LCM(6989,6995) = ( 6989 × 6995) / 1
LCM(6989,6995) = 48888055 / 1
LCM(6989,6995) = 48888055

1. What is the LCM of 6989 and 6995?

The LCM of 6989 and 6995 is 48888055.

2. How to find the lowest common multiple of 6989 and 6995?

To find the lowest common multiple of 6989 and 6995, we have to get the multip;es of both numbers and identify the least common multiple in them which is 48888055.

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 6995?

Answer: Factors of 6995 are 1, 5, 1399, 6995. There are 4 integers that are factors of 6995. The greatest factor of 6995 is 6995.

Answer:

Least Common Multiple of 6989 and 6995 = 48888055

Step 1: Find the prime factorization of 6989

6989 = 29 x 241

Step 2: Find the prime factorization of 6995

6995 = 5 x 1399

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

LCM = 48888055 = 5 x 29 x 241 x 1399

Step 4: Therefore, the least common multiple of 6989 and 6995 is 48888055.