Given Numbers are 6971, 6978

We can find the LCM of 6971, 6978 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6971 and 6978

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

Multiples of 6978 =6978,13956,20934,27912,34890,41868,48846,55824,62802,69780,76758,83736,90714,97692,104670,111648,118626,

Now, get the least common multiple of 6971, 6978 which is 48643638

So, the LCM of 6971, 6978 is 48643638.

One method for determining the LCM of 6971 and 6978 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 6978's prime factorization:

Prime factors of 6978 are 2, 3,1163.

6978 = 2¹×3¹×1163¹

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, 3,1163

2¹×3¹×1163¹×6971¹ = 48643638

This shows that the LCM of 6971 and 6978 is 48643638.

The first step in determining the Least Common Multiple of 6971 and 6978 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6971 and 6978:

Lets look at the first ten multiples of these numbers, 6971 and 6978:

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

6978,13956,20934,27912,34890,41868,48846,55824,62802,118626 are the first ten multiples of 6978.

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 6978, for example, are 83652, 118507, and 111648. 48643638 is the least common multiple since it is the smallest.

6971 and 6978 have an LCM of 48643638.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6971 and 6978, than apply into the LCM equation.

GCF(6971,6978) = 1
LCM(6971,6978) = ( 6971 × 6978) / 1
LCM(6971,6978) = 48643638 / 1
LCM(6971,6978) = 48643638

1. What is the LCM of 6971 and 6978?

The LCM of 6971 and 6978 is 48643638.

2. How to find the lowest common multiple of 6971 and 6978?

To find the lowest common multiple of 6971 and 6978, we have to get the multip;es of both numbers and identify the least common multiple in them which is 48643638.

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 6978?

Answer: Factors of 6978 are 1, 2, 3, 6, 1163, 2326, 3489, 6978. There are 8 integers that are factors of 6978. The greatest factor of 6978 is 6978.

Answer:

Least Common Multiple of 6971 and 6978 = 48643638

Step 1: Find the prime factorization of 6971

6971 = 6971

Step 2: Find the prime factorization of 6978

6978 = 2 x 3 x 1163

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

LCM = 48643638 = 2 x 3 x 1163 x 6971

Step 4: Therefore, the least common multiple of 6971 and 6978 is 48643638.