Given Numbers are 6987, 6993

We can find the LCM of 6987, 6993 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6987 and 6993

Multiples of 6987 =6987,13974,20961,27948,34935,41922,48909,55896,62883,69870,76857,83844,90831,97818,104805,111792,118779,

Multiples of 6993 =6993,13986,20979,27972,34965,41958,48951,55944,62937,69930,76923,83916,90909,97902,104895,111888,118881,

Now, get the least common multiple of 6987, 6993 which is 16286697

So, the LCM of 6987, 6993 is 16286697.

One method for determining the LCM of 6987 and 6993 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 6987's prime factorization:

Prime factors of 6987 are 3, 17,137.

6987 = 3¹×17¹×137¹

And this is 6993's prime factorization:

Prime factors of 6993 are 3, 7,37.

6993 = 3³×7¹×37¹

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: 3, 17,137, 7,37

3³×7¹×17¹×37¹×137¹ = 16286697

This shows that the LCM of 6987 and 6993 is 16286697.

The first step in determining the Least Common Multiple of 6987 and 6993 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6987 and 6993:

Lets look at the first ten multiples of these numbers, 6987 and 6993:

6987,13974,20961,27948,34935,41922,48909,55896,62883,118779 are the first ten multiples of 6987.

6993,13986,20979,27972,34965,41958,48951,55944,62937,118881 are the first ten multiples of 6993.

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 6987 and 6993, for example, are 83844, 118779, and 111888. 16286697 is the least common multiple since it is the smallest.

6987 and 6993 have an LCM of 16286697.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6987 and 6993, than apply into the LCM equation.

GCF(6987,6993) = 3
LCM(6987,6993) = ( 6987 × 6993) / 3
LCM(6987,6993) = 48860091 / 3
LCM(6987,6993) = 16286697

1. What is the LCM of 6987 and 6993?

The LCM of 6987 and 6993 is 16286697.

2. How to find the lowest common multiple of 6987 and 6993?

To find the lowest common multiple of 6987 and 6993, we have to get the multip;es of both numbers and identify the least common multiple in them which is 16286697.

3. What are the Factors of 6987?

Answer: Factors of 6987 are 1, 3, 17, 51, 137, 411, 2329, 6987. There are 8 integers that are factors of 6987. The greatest factor of 6987 is 6987.

4. What are the Factors of 6993?

Answer: Factors of 6993 are 1, 3, 7, 9, 21, 27, 37, 63, 111, 189, 259, 333, 777, 999, 2331, 6993. There are 16 integers that are factors of 6993. The greatest factor of 6993 is 6993.

Answer:

Least Common Multiple of 6987 and 6993 = 16286697

Step 1: Find the prime factorization of 6987

6987 = 3 x 17 x 137

Step 2: Find the prime factorization of 6993

6993 = 3 x 3 x 3 x 7 x 37

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

LCM = 16286697 = 3 x 3 x 3 x 7 x 17 x 37 x 137

Step 4: Therefore, the least common multiple of 6987 and 6993 is 16286697.