Given Numbers are 6988, 6992

We can find the LCM of 6988, 6992 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6988 and 6992

Multiples of 6988 =6988,13976,20964,27952,34940,41928,48916,55904,62892,69880,76868,83856,90844,97832,104820,111808,118796,

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

Now, get the least common multiple of 6988, 6992 which is 12215024

So, the LCM of 6988, 6992 is 12215024.

One method for determining the LCM of 6988 and 6992 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 6988's prime factorization:

Prime factors of 6988 are 2,1747.

6988 = 2²×1747¹

And this is 6992's prime factorization:

Prime factors of 6992 are 2, 19,23.

6992 = 2⁴×19¹×23¹

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: 2,1747, 19,23

2⁴×19¹×23¹×1747¹ = 12215024

This shows that the LCM of 6988 and 6992 is 12215024.

The first step in determining the Least Common Multiple of 6988 and 6992 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6988 and 6992:

Lets look at the first ten multiples of these numbers, 6988 and 6992:

6988,13976,20964,27952,34940,41928,48916,55904,62892,118796 are the first ten multiples of 6988.

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

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 6988 and 6992, for example, are 83856, 118796, and 111872. 12215024 is the least common multiple since it is the smallest.

6988 and 6992 have an LCM of 12215024.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6988 and 6992, than apply into the LCM equation.

GCF(6988,6992) = 4
LCM(6988,6992) = ( 6988 × 6992) / 4
LCM(6988,6992) = 48860096 / 4
LCM(6988,6992) = 12215024

1. What is the LCM of 6988 and 6992?

The LCM of 6988 and 6992 is 12215024.

2. How to find the lowest common multiple of 6988 and 6992?

To find the lowest common multiple of 6988 and 6992, we have to get the multip;es of both numbers and identify the least common multiple in them which is 12215024.

3. What are the Factors of 6988?

Answer: Factors of 6988 are 1, 2, 4, 1747, 3494, 6988. There are 6 integers that are factors of 6988. The greatest factor of 6988 is 6988.

4. 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.

Answer:

Least Common Multiple of 6988 and 6992 = 12215024

Step 1: Find the prime factorization of 6988

6988 = 2 x 2 x 1747

Step 2: Find the prime factorization of 6992

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

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

LCM = 12215024 = 2 x 2 x 2 x 2 x 19 x 23 x 1747

Step 4: Therefore, the least common multiple of 6988 and 6992 is 12215024.