Given Numbers are 6968, 6974

We can find the LCM of 6968, 6974 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6968 and 6974

Multiples of 6968 =6968,13936,20904,27872,34840,41808,48776,55744,62712,69680,76648,83616,90584,97552,104520,111488,118456,

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

Now, get the least common multiple of 6968, 6974 which is 24297416

So, the LCM of 6968, 6974 is 24297416.

One method for determining the LCM of 6968 and 6974 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 6968's prime factorization:

Prime factors of 6968 are 2, 13,67.

6968 = 2³×13¹×67¹

And this is 6974's prime factorization:

Prime factors of 6974 are 2, 11,317.

6974 = 2¹×11¹×317¹

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, 13,67, 11,317

2³×11¹×13¹×67¹×317¹ = 24297416

This shows that the LCM of 6968 and 6974 is 24297416.

The first step in determining the Least Common Multiple of 6968 and 6974 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6968 and 6974:

Lets look at the first ten multiples of these numbers, 6968 and 6974:

6968,13936,20904,27872,34840,41808,48776,55744,62712,118456 are the first ten multiples of 6968.

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

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 6968 and 6974, for example, are 83616, 118456, and 111584. 24297416 is the least common multiple since it is the smallest.

6968 and 6974 have an LCM of 24297416.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6968 and 6974, than apply into the LCM equation.

GCF(6968,6974) = 2
LCM(6968,6974) = ( 6968 × 6974) / 2
LCM(6968,6974) = 48594832 / 2
LCM(6968,6974) = 24297416

1. What is the LCM of 6968 and 6974?

The LCM of 6968 and 6974 is 24297416.

2. How to find the lowest common multiple of 6968 and 6974?

To find the lowest common multiple of 6968 and 6974, we have to get the multip;es of both numbers and identify the least common multiple in them which is 24297416.

3. What are the Factors of 6968?

Answer: Factors of 6968 are 1, 2, 4, 8, 13, 26, 52, 67, 104, 134, 268, 536, 871, 1742, 3484, 6968. There are 16 integers that are factors of 6968. The greatest factor of 6968 is 6968.

4. 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.

Answer:

Least Common Multiple of 6968 and 6974 = 24297416

Step 1: Find the prime factorization of 6968

6968 = 2 x 2 x 2 x 13 x 67

Step 2: Find the prime factorization of 6974

6974 = 2 x 11 x 317

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

LCM = 24297416 = 2 x 2 x 2 x 11 x 13 x 67 x 317

Step 4: Therefore, the least common multiple of 6968 and 6974 is 24297416.