Given Numbers are 6969, 6975

We can find the LCM of 6969, 6975 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6969 and 6975

Multiples of 6969 =6969,13938,20907,27876,34845,41814,48783,55752,62721,69690,76659,83628,90597,97566,104535,111504,118473,

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 6969, 6975 which is 16202925

So, the LCM of 6969, 6975 is 16202925.

One method for determining the LCM of 6969 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 6969's prime factorization:

Prime factors of 6969 are 3, 23,101.

6969 = 3¹×23¹×101¹

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: 3, 23,101, 5,31

3²×5²×23¹×31¹×101¹ = 16202925

This shows that the LCM of 6969 and 6975 is 16202925.

The first step in determining the Least Common Multiple of 6969 and 6975 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6969 and 6975:

Lets look at the first ten multiples of these numbers, 6969 and 6975:

6969,13938,20907,27876,34845,41814,48783,55752,62721,118473 are the first ten multiples of 6969.

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 6969 and 6975, for example, are 83628, 118473, and 111600. 16202925 is the least common multiple since it is the smallest.

6969 and 6975 have an LCM of 16202925.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6969 and 6975, than apply into the LCM equation.

GCF(6969,6975) = 3
LCM(6969,6975) = ( 6969 × 6975) / 3
LCM(6969,6975) = 48608775 / 3
LCM(6969,6975) = 16202925

1. What is the LCM of 6969 and 6975?

The LCM of 6969 and 6975 is 16202925.

2. How to find the lowest common multiple of 6969 and 6975?

To find the lowest common multiple of 6969 and 6975, we have to get the multip;es of both numbers and identify the least common multiple in them which is 16202925.

3. What are the Factors of 6969?

Answer: Factors of 6969 are 1, 3, 23, 69, 101, 303, 2323, 6969. There are 8 integers that are factors of 6969. The greatest factor of 6969 is 6969.

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 6969 and 6975 = 16202925

Step 1: Find the prime factorization of 6969

6969 = 3 x 23 x 101

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 = 16202925 = 3 x 3 x 5 x 5 x 23 x 31 x 101

Step 4: Therefore, the least common multiple of 6969 and 6975 is 16202925.