Given Numbers are 6966, 6971

We can find the LCM of 6966, 6971 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6966 and 6971

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

Multiples of 6971 =6971,13942,20913,27884,34855,41826,48797,55768,62739,69710,76681,83652,90623,97594,104565,111536,118507,

Now, get the least common multiple of 6966, 6971 which is 48559986

So, the LCM of 6966, 6971 is 48559986.

One method for determining the LCM of 6966 and 6971 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 6971's prime factorization:

Prime factors of 6971 are 6971.

6971 = 6971¹

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, 3,43,6971

2¹×3⁴×43¹×6971¹ = 48559986

This shows that the LCM of 6966 and 6971 is 48559986.

The first step in determining the Least Common Multiple of 6966 and 6971 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6966 and 6971:

Lets look at the first ten multiples of these numbers, 6966 and 6971:

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

6971,13942,20913,27884,34855,41826,48797,55768,62739,118507 are the first ten multiples of 6971.

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 6971, for example, are 83592, 118422, and 111536. 48559986 is the least common multiple since it is the smallest.

6966 and 6971 have an LCM of 48559986.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6966 and 6971, than apply into the LCM equation.

GCF(6966,6971) = 1
LCM(6966,6971) = ( 6966 × 6971) / 1
LCM(6966,6971) = 48559986 / 1
LCM(6966,6971) = 48559986

1. What is the LCM of 6966 and 6971?

The LCM of 6966 and 6971 is 48559986.

2. How to find the lowest common multiple of 6966 and 6971?

To find the lowest common multiple of 6966 and 6971, we have to get the multip;es of both numbers and identify the least common multiple in them which is 48559986.

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 6971?

Answer: Factors of 6971 are 1, 6971. There are 2 integers that are factors of 6971. The greatest factor of 6971 is 6971.

Answer:

Least Common Multiple of 6966 and 6971 = 48559986

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 6971

6971 = 6971

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

LCM = 48559986 = 2 x 3 x 3 x 3 x 3 x 43 x 6971

Step 4: Therefore, the least common multiple of 6966 and 6971 is 48559986.