Given Numbers are 6960, 6966

We can find the LCM of 6960, 6966 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6960 and 6966

Multiples of 6960 =6960,13920,20880,27840,34800,41760,48720,55680,62640,69600,76560,83520,90480,97440,104400,111360,118320,

Multiples of 6966 =6966,13932,20898,27864,34830,41796,48762,55728,62694,69660,76626,83592,90558,97524,104490,111456,118422,

Now, get the least common multiple of 6960, 6966 which is 8080560

So, the LCM of 6960, 6966 is 8080560.

One method for determining the LCM of 6960 and 6966 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 6960's prime factorization:

Prime factors of 6960 are 2, 3, 5,29.

6960 = 2⁴×3¹×5¹×29¹

And this is 6966's prime factorization:

Prime factors of 6966 are 2, 3,43.

6966 = 2¹×3⁴×43¹

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, 5,29,43

2⁴×3⁴×5¹×29¹×43¹ = 8080560

This shows that the LCM of 6960 and 6966 is 8080560.

The first step in determining the Least Common Multiple of 6960 and 6966 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6960 and 6966:

Lets look at the first ten multiples of these numbers, 6960 and 6966:

6960,13920,20880,27840,34800,41760,48720,55680,62640,118320 are the first ten multiples of 6960.

6966,13932,20898,27864,34830,41796,48762,55728,62694,118422 are the first ten multiples of 6966.

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 6960 and 6966, for example, are 83520, 118320, and 111456. 8080560 is the least common multiple since it is the smallest.

6960 and 6966 have an LCM of 8080560.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6960 and 6966, than apply into the LCM equation.

GCF(6960,6966) = 6
LCM(6960,6966) = ( 6960 × 6966) / 6
LCM(6960,6966) = 48483360 / 6
LCM(6960,6966) = 8080560

1. What is the LCM of 6960 and 6966?

The LCM of 6960 and 6966 is 8080560.

2. How to find the lowest common multiple of 6960 and 6966?

To find the lowest common multiple of 6960 and 6966, we have to get the multip;es of both numbers and identify the least common multiple in them which is 8080560.

3. What are the Factors of 6960?

Answer: Factors of 6960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 29, 30, 40, 48, 58, 60, 80, 87, 116, 120, 145, 174, 232, 240, 290, 348, 435, 464, 580, 696, 870, 1160, 1392, 1740, 2320, 3480, 6960. There are 40 integers that are factors of 6960. The greatest factor of 6960 is 6960.

4. What are the Factors of 6966?

Answer: Factors of 6966 are 1, 2, 3, 6, 9, 18, 27, 43, 54, 81, 86, 129, 162, 258, 387, 774, 1161, 2322, 3483, 6966. There are 20 integers that are factors of 6966. The greatest factor of 6966 is 6966.

Answer:

Least Common Multiple of 6960 and 6966 = 8080560

Step 1: Find the prime factorization of 6960

6960 = 2 x 2 x 2 x 2 x 3 x 5 x 29

Step 2: Find the prime factorization of 6966

6966 = 2 x 3 x 3 x 3 x 3 x 43

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

LCM = 8080560 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 29 x 43

Step 4: Therefore, the least common multiple of 6960 and 6966 is 8080560.