Given Numbers are 6996, 7002

We can find the LCM of 6996, 7002 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6996 and 7002

Multiples of 6996 =6996,13992,20988,27984,34980,41976,48972,55968,62964,69960,76956,83952,90948,97944,104940,111936,118932,

Multiples of 7002 =7002,14004,21006,28008,35010,42012,49014,56016,63018,70020,77022,84024,91026,98028,105030,112032,119034,

Now, get the least common multiple of 6996, 7002 which is 8164332

So, the LCM of 6996, 7002 is 8164332.

One method for determining the LCM of 6996 and 7002 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 6996's prime factorization:

Prime factors of 6996 are 2, 3, 11,53.

6996 = 2²×3¹×11¹×53¹

And this is 7002's prime factorization:

Prime factors of 7002 are 2, 3,389.

7002 = 2¹×3²×389¹

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, 11,53,389

2²×3²×11¹×53¹×389¹ = 8164332

This shows that the LCM of 6996 and 7002 is 8164332.

The first step in determining the Least Common Multiple of 6996 and 7002 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6996 and 7002:

Lets look at the first ten multiples of these numbers, 6996 and 7002:

6996,13992,20988,27984,34980,41976,48972,55968,62964,118932 are the first ten multiples of 6996.

7002,14004,21006,28008,35010,42012,49014,56016,63018,119034 are the first ten multiples of 7002.

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 6996 and 7002, for example, are 83952, 118932, and 112032. 8164332 is the least common multiple since it is the smallest.

6996 and 7002 have an LCM of 8164332.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6996 and 7002, than apply into the LCM equation.

GCF(6996,7002) = 6
LCM(6996,7002) = ( 6996 × 7002) / 6
LCM(6996,7002) = 48985992 / 6
LCM(6996,7002) = 8164332

1. What is the LCM of 6996 and 7002?

The LCM of 6996 and 7002 is 8164332.

2. How to find the lowest common multiple of 6996 and 7002?

To find the lowest common multiple of 6996 and 7002, we have to get the multip;es of both numbers and identify the least common multiple in them which is 8164332.

3. What are the Factors of 6996?

Answer: Factors of 6996 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 53, 66, 106, 132, 159, 212, 318, 583, 636, 1166, 1749, 2332, 3498, 6996. There are 24 integers that are factors of 6996. The greatest factor of 6996 is 6996.

4. What are the Factors of 7002?

Answer: Factors of 7002 are 1, 2, 3, 6, 9, 18, 389, 778, 1167, 2334, 3501, 7002. There are 12 integers that are factors of 7002. The greatest factor of 7002 is 7002.

Answer:

Least Common Multiple of 6996 and 7002 = 8164332

Step 1: Find the prime factorization of 6996

6996 = 2 x 2 x 3 x 11 x 53

Step 2: Find the prime factorization of 7002

7002 = 2 x 3 x 3 x 389

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

LCM = 8164332 = 2 x 2 x 3 x 3 x 11 x 53 x 389

Step 4: Therefore, the least common multiple of 6996 and 7002 is 8164332.