Given Numbers are 6974, 6978

We can find the LCM of 6974, 6978 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6974 and 6978

Multiples of 6974 =6974,13948,20922,27896,34870,41844,48818,55792,62766,69740,76714,83688,90662,97636,104610,111584,118558,

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

Now, get the least common multiple of 6974, 6978 which is 24332286

So, the LCM of 6974, 6978 is 24332286.

One method for determining the LCM of 6974 and 6978 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 6974's prime factorization:

Prime factors of 6974 are 2, 11,317.

6974 = 2¹×11¹×317¹

And this is 6978's prime factorization:

Prime factors of 6978 are 2, 3,1163.

6978 = 2¹×3¹×1163¹

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, 11,317, 3,1163

2¹×3¹×11¹×317¹×1163¹ = 24332286

This shows that the LCM of 6974 and 6978 is 24332286.

The first step in determining the Least Common Multiple of 6974 and 6978 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6974 and 6978:

Lets look at the first ten multiples of these numbers, 6974 and 6978:

6974,13948,20922,27896,34870,41844,48818,55792,62766,118558 are the first ten multiples of 6974.

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

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 6974 and 6978, for example, are 83688, 118558, and 111648. 24332286 is the least common multiple since it is the smallest.

6974 and 6978 have an LCM of 24332286.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6974 and 6978, than apply into the LCM equation.

GCF(6974,6978) = 2
LCM(6974,6978) = ( 6974 × 6978) / 2
LCM(6974,6978) = 48664572 / 2
LCM(6974,6978) = 24332286

1. What is the LCM of 6974 and 6978?

The LCM of 6974 and 6978 is 24332286.

2. How to find the lowest common multiple of 6974 and 6978?

To find the lowest common multiple of 6974 and 6978, we have to get the multip;es of both numbers and identify the least common multiple in them which is 24332286.

3. What are the Factors of 6974?

Answer: Factors of 6974 are 1, 2, 11, 22, 317, 634, 3487, 6974. There are 8 integers that are factors of 6974. The greatest factor of 6974 is 6974.

4. 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.

Answer:

Least Common Multiple of 6974 and 6978 = 24332286

Step 1: Find the prime factorization of 6974

6974 = 2 x 11 x 317

Step 2: Find the prime factorization of 6978

6978 = 2 x 3 x 1163

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

LCM = 24332286 = 2 x 3 x 11 x 317 x 1163

Step 4: Therefore, the least common multiple of 6974 and 6978 is 24332286.