Given Numbers are 6971, 6976

We can find the LCM of 6971, 6976 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6971 and 6976

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

Multiples of 6976 =6976,13952,20928,27904,34880,41856,48832,55808,62784,69760,76736,83712,90688,97664,104640,111616,118592,

Now, get the least common multiple of 6971, 6976 which is 48629696

So, the LCM of 6971, 6976 is 48629696.

One method for determining the LCM of 6971 and 6976 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 6971's prime factorization:

Prime factors of 6971 are 6971.

6971 = 6971¹

And this is 6976's prime factorization:

Prime factors of 6976 are 2,109.

6976 = 2⁶×109¹

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:6971, 2,109

2⁶×109¹×6971¹ = 48629696

This shows that the LCM of 6971 and 6976 is 48629696.

The first step in determining the Least Common Multiple of 6971 and 6976 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6971 and 6976:

Lets look at the first ten multiples of these numbers, 6971 and 6976:

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

6976,13952,20928,27904,34880,41856,48832,55808,62784,118592 are the first ten multiples of 6976.

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 6971 and 6976, for example, are 83652, 118507, and 111616. 48629696 is the least common multiple since it is the smallest.

6971 and 6976 have an LCM of 48629696.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6971 and 6976, than apply into the LCM equation.

GCF(6971,6976) = 1
LCM(6971,6976) = ( 6971 × 6976) / 1
LCM(6971,6976) = 48629696 / 1
LCM(6971,6976) = 48629696

1. What is the LCM of 6971 and 6976?

The LCM of 6971 and 6976 is 48629696.

2. How to find the lowest common multiple of 6971 and 6976?

To find the lowest common multiple of 6971 and 6976, we have to get the multip;es of both numbers and identify the least common multiple in them which is 48629696.

3. 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.

4. What are the Factors of 6976?

Answer: Factors of 6976 are 1, 2, 4, 8, 16, 32, 64, 109, 218, 436, 872, 1744, 3488, 6976. There are 14 integers that are factors of 6976. The greatest factor of 6976 is 6976.

Answer:

Least Common Multiple of 6971 and 6976 = 48629696

Step 1: Find the prime factorization of 6971

6971 = 6971

Step 2: Find the prime factorization of 6976

6976 = 2 x 2 x 2 x 2 x 2 x 2 x 109

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

LCM = 48629696 = 2 x 2 x 2 x 2 x 2 x 2 x 109 x 6971

Step 4: Therefore, the least common multiple of 6971 and 6976 is 48629696.