Given Numbers are 6966, 6973

We can find the LCM of 6966, 6973 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6966 and 6973

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

Multiples of 6973 =6973,13946,20919,27892,34865,41838,48811,55784,62757,69730,76703,83676,90649,97622,104595,111568,118541,

Now, get the least common multiple of 6966, 6973 which is 48573918

So, the LCM of 6966, 6973 is 48573918.

One method for determining the LCM of 6966 and 6973 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 6966's prime factorization:

Prime factors of 6966 are 2, 3,43.

6966 = 2¹×3⁴×43¹

And this is 6973's prime factorization:

Prime factors of 6973 are 19,367.

6973 = 19¹×367¹

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, 3,43, 19,367

2¹×3⁴×19¹×43¹×367¹ = 48573918

This shows that the LCM of 6966 and 6973 is 48573918.

The first step in determining the Least Common Multiple of 6966 and 6973 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6966 and 6973:

Lets look at the first ten multiples of these numbers, 6966 and 6973:

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

6973,13946,20919,27892,34865,41838,48811,55784,62757,118541 are the first ten multiples of 6973.

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 6966 and 6973, for example, are 83592, 118422, and 111568. 48573918 is the least common multiple since it is the smallest.

6966 and 6973 have an LCM of 48573918.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6966 and 6973, than apply into the LCM equation.

GCF(6966,6973) = 1
LCM(6966,6973) = ( 6966 × 6973) / 1
LCM(6966,6973) = 48573918 / 1
LCM(6966,6973) = 48573918

1. What is the LCM of 6966 and 6973?

The LCM of 6966 and 6973 is 48573918.

2. How to find the lowest common multiple of 6966 and 6973?

To find the lowest common multiple of 6966 and 6973, we have to get the multip;es of both numbers and identify the least common multiple in them which is 48573918.

3. 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.

4. What are the Factors of 6973?

Answer: Factors of 6973 are 1, 19, 367, 6973. There are 4 integers that are factors of 6973. The greatest factor of 6973 is 6973.

Answer:

Least Common Multiple of 6966 and 6973 = 48573918

Step 1: Find the prime factorization of 6966

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

Step 2: Find the prime factorization of 6973

6973 = 19 x 367

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

LCM = 48573918 = 2 x 3 x 3 x 3 x 3 x 19 x 43 x 367

Step 4: Therefore, the least common multiple of 6966 and 6973 is 48573918.