Given Numbers are 6992, 6999

We can find the LCM of 6992, 6999 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6992 and 6999

Multiples of 6992 =6992,13984,20976,27968,34960,41952,48944,55936,62928,69920,76912,83904,90896,97888,104880,111872,118864,

Multiples of 6999 =6999,13998,20997,27996,34995,41994,48993,55992,62991,69990,76989,83988,90987,97986,104985,111984,118983,

Now, get the least common multiple of 6992, 6999 which is 48937008

So, the LCM of 6992, 6999 is 48937008.

One method for determining the LCM of 6992 and 6999 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 6992's prime factorization:

Prime factors of 6992 are 2, 19,23.

6992 = 2⁴×19¹×23¹

And this is 6999's prime factorization:

Prime factors of 6999 are 3,2333.

6999 = 3¹×2333¹

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: 2, 19,23, 3,2333

2⁴×3¹×19¹×23¹×2333¹ = 48937008

This shows that the LCM of 6992 and 6999 is 48937008.

The first step in determining the Least Common Multiple of 6992 and 6999 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6992 and 6999:

Lets look at the first ten multiples of these numbers, 6992 and 6999:

6992,13984,20976,27968,34960,41952,48944,55936,62928,118864 are the first ten multiples of 6992.

6999,13998,20997,27996,34995,41994,48993,55992,62991,118983 are the first ten multiples of 6999.

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 6992 and 6999, for example, are 83904, 118864, and 111984. 48937008 is the least common multiple since it is the smallest.

6992 and 6999 have an LCM of 48937008.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6992 and 6999, than apply into the LCM equation.

GCF(6992,6999) = 1
LCM(6992,6999) = ( 6992 × 6999) / 1
LCM(6992,6999) = 48937008 / 1
LCM(6992,6999) = 48937008

1. What is the LCM of 6992 and 6999?

The LCM of 6992 and 6999 is 48937008.

2. How to find the lowest common multiple of 6992 and 6999?

To find the lowest common multiple of 6992 and 6999, we have to get the multip;es of both numbers and identify the least common multiple in them which is 48937008.

3. What are the Factors of 6992?

Answer: Factors of 6992 are 1, 2, 4, 8, 16, 19, 23, 38, 46, 76, 92, 152, 184, 304, 368, 437, 874, 1748, 3496, 6992. There are 20 integers that are factors of 6992. The greatest factor of 6992 is 6992.

4. What are the Factors of 6999?

Answer: Factors of 6999 are 1, 3, 2333, 6999. There are 4 integers that are factors of 6999. The greatest factor of 6999 is 6999.

Answer:

Least Common Multiple of 6992 and 6999 = 48937008

Step 1: Find the prime factorization of 6992

6992 = 2 x 2 x 2 x 2 x 19 x 23

Step 2: Find the prime factorization of 6999

6999 = 3 x 2333

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

LCM = 48937008 = 2 x 2 x 2 x 2 x 3 x 19 x 23 x 2333

Step 4: Therefore, the least common multiple of 6992 and 6999 is 48937008.