Given Numbers are 6968, 6975

We can find the LCM of 6968, 6975 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6968 and 6975

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

Multiples of 6975 =6975,13950,20925,27900,34875,41850,48825,55800,62775,69750,76725,83700,90675,97650,104625,111600,118575,

Now, get the least common multiple of 6968, 6975 which is 48601800

So, the LCM of 6968, 6975 is 48601800.

One method for determining the LCM of 6968 and 6975 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 6975's prime factorization:

Prime factors of 6975 are 3, 5,31.

6975 = 3²×5²×31¹

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, 3, 5,31

2³×3²×5²×13¹×31¹×67¹ = 48601800

This shows that the LCM of 6968 and 6975 is 48601800.

The first step in determining the Least Common Multiple of 6968 and 6975 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6968 and 6975:

Lets look at the first ten multiples of these numbers, 6968 and 6975:

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

6975,13950,20925,27900,34875,41850,48825,55800,62775,118575 are the first ten multiples of 6975.

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 6975, for example, are 83616, 118456, and 111600. 48601800 is the least common multiple since it is the smallest.

6968 and 6975 have an LCM of 48601800.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6968 and 6975, than apply into the LCM equation.

GCF(6968,6975) = 1
LCM(6968,6975) = ( 6968 × 6975) / 1
LCM(6968,6975) = 48601800 / 1
LCM(6968,6975) = 48601800

1. What is the LCM of 6968 and 6975?

The LCM of 6968 and 6975 is 48601800.

2. How to find the lowest common multiple of 6968 and 6975?

To find the lowest common multiple of 6968 and 6975, we have to get the multip;es of both numbers and identify the least common multiple in them which is 48601800.

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 6975?

Answer: Factors of 6975 are 1, 3, 5, 9, 15, 25, 31, 45, 75, 93, 155, 225, 279, 465, 775, 1395, 2325, 6975. There are 18 integers that are factors of 6975. The greatest factor of 6975 is 6975.

Answer:

Least Common Multiple of 6968 and 6975 = 48601800

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 6975

6975 = 3 x 3 x 5 x 5 x 31

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

LCM = 48601800 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 13 x 31 x 67

Step 4: Therefore, the least common multiple of 6968 and 6975 is 48601800.