Given Numbers are 6972, 6976

We can find the LCM of 6972, 6976 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6972 and 6976

Multiples of 6972 =6972,13944,20916,27888,34860,41832,48804,55776,62748,69720,76692,83664,90636,97608,104580,111552,118524,

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 6972, 6976 which is 12159168

So, the LCM of 6972, 6976 is 12159168.

One method for determining the LCM of 6972 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 6972's prime factorization:

Prime factors of 6972 are 2, 3, 7,83.

6972 = 2²×3¹×7¹×83¹

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: 2, 3, 7,83,109

2⁶×3¹×7¹×83¹×109¹ = 12159168

This shows that the LCM of 6972 and 6976 is 12159168.

The first step in determining the Least Common Multiple of 6972 and 6976 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6972 and 6976:

Lets look at the first ten multiples of these numbers, 6972 and 6976:

6972,13944,20916,27888,34860,41832,48804,55776,62748,118524 are the first ten multiples of 6972.

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 6972 and 6976, for example, are 83664, 118524, and 111616. 12159168 is the least common multiple since it is the smallest.

6972 and 6976 have an LCM of 12159168.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6972 and 6976, than apply into the LCM equation.

GCF(6972,6976) = 4
LCM(6972,6976) = ( 6972 × 6976) / 4
LCM(6972,6976) = 48636672 / 4
LCM(6972,6976) = 12159168

1. What is the LCM of 6972 and 6976?

The LCM of 6972 and 6976 is 12159168.

2. How to find the lowest common multiple of 6972 and 6976?

To find the lowest common multiple of 6972 and 6976, we have to get the multip;es of both numbers and identify the least common multiple in them which is 12159168.

3. What are the Factors of 6972?

Answer: Factors of 6972 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 83, 84, 166, 249, 332, 498, 581, 996, 1162, 1743, 2324, 3486, 6972. There are 24 integers that are factors of 6972. The greatest factor of 6972 is 6972.

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 6972 and 6976 = 12159168

Step 1: Find the prime factorization of 6972

6972 = 2 x 2 x 3 x 7 x 83

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 = 12159168 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 83 x 109

Step 4: Therefore, the least common multiple of 6972 and 6976 is 12159168.