Given Numbers are 6985, 6993

We can find the LCM of 6985, 6993 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6985 and 6993

Multiples of 6985 =6985,13970,20955,27940,34925,41910,48895,55880,62865,69850,76835,83820,90805,97790,104775,111760,118745,

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 6985, 6993 which is 48846105

So, the LCM of 6985, 6993 is 48846105.

One method for determining the LCM of 6985 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 6985's prime factorization:

Prime factors of 6985 are 5, 11,127.

6985 = 5¹×11¹×127¹

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: 5, 11,127, 3, 7,37

3³×5¹×7¹×11¹×37¹×127¹ = 48846105

This shows that the LCM of 6985 and 6993 is 48846105.

The first step in determining the Least Common Multiple of 6985 and 6993 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6985 and 6993:

Lets look at the first ten multiples of these numbers, 6985 and 6993:

6985,13970,20955,27940,34925,41910,48895,55880,62865,118745 are the first ten multiples of 6985.

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 6985 and 6993, for example, are 83820, 118745, and 111888. 48846105 is the least common multiple since it is the smallest.

6985 and 6993 have an LCM of 48846105.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6985 and 6993, than apply into the LCM equation.

GCF(6985,6993) = 1
LCM(6985,6993) = ( 6985 × 6993) / 1
LCM(6985,6993) = 48846105 / 1
LCM(6985,6993) = 48846105

1. What is the LCM of 6985 and 6993?

The LCM of 6985 and 6993 is 48846105.

2. How to find the lowest common multiple of 6985 and 6993?

To find the lowest common multiple of 6985 and 6993, we have to get the multip;es of both numbers and identify the least common multiple in them which is 48846105.

3. What are the Factors of 6985?

Answer: Factors of 6985 are 1, 5, 11, 55, 127, 635, 1397, 6985. There are 8 integers that are factors of 6985. The greatest factor of 6985 is 6985.

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 6985 and 6993 = 48846105

Step 1: Find the prime factorization of 6985

6985 = 5 x 11 x 127

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 = 48846105 = 3 x 3 x 3 x 5 x 7 x 11 x 37 x 127

Step 4: Therefore, the least common multiple of 6985 and 6993 is 48846105.