Given Numbers are 6978, 6986

We can find the LCM of 6978, 6986 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6978 and 6986

Multiples of 6978 =6978,13956,20934,27912,34890,41868,48846,55824,62802,69780,76758,83736,90714,97692,104670,111648,118626,

Multiples of 6986 =6986,13972,20958,27944,34930,41916,48902,55888,62874,69860,76846,83832,90818,97804,104790,111776,118762,

Now, get the least common multiple of 6978, 6986 which is 24374154

So, the LCM of 6978, 6986 is 24374154.

One method for determining the LCM of 6978 and 6986 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 6978's prime factorization:

Prime factors of 6978 are 2, 3,1163.

6978 = 2¹×3¹×1163¹

And this is 6986's prime factorization:

Prime factors of 6986 are 2, 7,499.

6986 = 2¹×7¹×499¹

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, 3,1163, 7,499

2¹×3¹×7¹×499¹×1163¹ = 24374154

This shows that the LCM of 6978 and 6986 is 24374154.

The first step in determining the Least Common Multiple of 6978 and 6986 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6978 and 6986:

Lets look at the first ten multiples of these numbers, 6978 and 6986:

6978,13956,20934,27912,34890,41868,48846,55824,62802,118626 are the first ten multiples of 6978.

6986,13972,20958,27944,34930,41916,48902,55888,62874,118762 are the first ten multiples of 6986.

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 6978 and 6986, for example, are 83736, 118626, and 111776. 24374154 is the least common multiple since it is the smallest.

6978 and 6986 have an LCM of 24374154.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6978 and 6986, than apply into the LCM equation.

GCF(6978,6986) = 2
LCM(6978,6986) = ( 6978 × 6986) / 2
LCM(6978,6986) = 48748308 / 2
LCM(6978,6986) = 24374154

1. What is the LCM of 6978 and 6986?

The LCM of 6978 and 6986 is 24374154.

2. How to find the lowest common multiple of 6978 and 6986?

To find the lowest common multiple of 6978 and 6986, we have to get the multip;es of both numbers and identify the least common multiple in them which is 24374154.

3. What are the Factors of 6978?

Answer: Factors of 6978 are 1, 2, 3, 6, 1163, 2326, 3489, 6978. There are 8 integers that are factors of 6978. The greatest factor of 6978 is 6978.

4. What are the Factors of 6986?

Answer: Factors of 6986 are 1, 2, 7, 14, 499, 998, 3493, 6986. There are 8 integers that are factors of 6986. The greatest factor of 6986 is 6986.

Answer:

Least Common Multiple of 6978 and 6986 = 24374154

Step 1: Find the prime factorization of 6978

6978 = 2 x 3 x 1163

Step 2: Find the prime factorization of 6986

6986 = 2 x 7 x 499

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

LCM = 24374154 = 2 x 3 x 7 x 499 x 1163

Step 4: Therefore, the least common multiple of 6978 and 6986 is 24374154.