Given Numbers are 6995, 7000

We can find the LCM of 6995, 7000 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6995 and 7000

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

Multiples of 7000 =7000,14000,21000,28000,35000,42000,49000,56000,63000,70000,77000,84000,91000,98000,105000,112000,119000,

Now, get the least common multiple of 6995, 7000 which is 9793000

So, the LCM of 6995, 7000 is 9793000.

One method for determining the LCM of 6995 and 7000 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 6995's prime factorization:

Prime factors of 6995 are 5,1399.

6995 = 5¹×1399¹

And this is 7000's prime factorization:

Prime factors of 7000 are 2, 5,7.

7000 = 2³×5³×7¹

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: 5,1399, 2,7

2³×5³×7¹×1399¹ = 9793000

This shows that the LCM of 6995 and 7000 is 9793000.

The first step in determining the Least Common Multiple of 6995 and 7000 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6995 and 7000:

Lets look at the first ten multiples of these numbers, 6995 and 7000:

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

7000,14000,21000,28000,35000,42000,49000,56000,63000,119000 are the first ten multiples of 7000.

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 6995 and 7000, for example, are 83940, 118915, and 112000. 9793000 is the least common multiple since it is the smallest.

6995 and 7000 have an LCM of 9793000.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6995 and 7000, than apply into the LCM equation.

GCF(6995,7000) = 5
LCM(6995,7000) = ( 6995 × 7000) / 5
LCM(6995,7000) = 48965000 / 5
LCM(6995,7000) = 9793000

1. What is the LCM of 6995 and 7000?

The LCM of 6995 and 7000 is 9793000.

2. How to find the lowest common multiple of 6995 and 7000?

To find the lowest common multiple of 6995 and 7000, we have to get the multip;es of both numbers and identify the least common multiple in them which is 9793000.

3. 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.

4. What are the Factors of 7000?

Answer: Factors of 7000 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 125, 140, 175, 200, 250, 280, 350, 500, 700, 875, 1000, 1400, 1750, 3500, 7000. There are 32 integers that are factors of 7000. The greatest factor of 7000 is 7000.

Answer:

Least Common Multiple of 6995 and 7000 = 9793000

Step 1: Find the prime factorization of 6995

6995 = 5 x 1399

Step 2: Find the prime factorization of 7000

7000 = 2 x 2 x 2 x 5 x 5 x 5 x 7

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

LCM = 9793000 = 2 x 2 x 2 x 5 x 5 x 5 x 7 x 1399

Step 4: Therefore, the least common multiple of 6995 and 7000 is 9793000.