Given Numbers are 6990, 6996

We can find the LCM of 6990, 6996 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6990 and 6996

Multiples of 6990 =6990,13980,20970,27960,34950,41940,48930,55920,62910,69900,76890,83880,90870,97860,104850,111840,118830,

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

Now, get the least common multiple of 6990, 6996 which is 8150340

So, the LCM of 6990, 6996 is 8150340.

One method for determining the LCM of 6990 and 6996 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 6990's prime factorization:

Prime factors of 6990 are 2, 3, 5,233.

6990 = 2¹×3¹×5¹×233¹

And this is 6996's prime factorization:

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

6996 = 2²×3¹×11¹×53¹

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, 5,233, 11,53

2²×3¹×5¹×11¹×53¹×233¹ = 8150340

This shows that the LCM of 6990 and 6996 is 8150340.

The first step in determining the Least Common Multiple of 6990 and 6996 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6990 and 6996:

Lets look at the first ten multiples of these numbers, 6990 and 6996:

6990,13980,20970,27960,34950,41940,48930,55920,62910,118830 are the first ten multiples of 6990.

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

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 6990 and 6996, for example, are 83880, 118830, and 111936. 8150340 is the least common multiple since it is the smallest.

6990 and 6996 have an LCM of 8150340.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6990 and 6996, than apply into the LCM equation.

GCF(6990,6996) = 6
LCM(6990,6996) = ( 6990 × 6996) / 6
LCM(6990,6996) = 48902040 / 6
LCM(6990,6996) = 8150340

1. What is the LCM of 6990 and 6996?

The LCM of 6990 and 6996 is 8150340.

2. How to find the lowest common multiple of 6990 and 6996?

To find the lowest common multiple of 6990 and 6996, we have to get the multip;es of both numbers and identify the least common multiple in them which is 8150340.

3. What are the Factors of 6990?

Answer: Factors of 6990 are 1, 2, 3, 5, 6, 10, 15, 30, 233, 466, 699, 1165, 1398, 2330, 3495, 6990. There are 16 integers that are factors of 6990. The greatest factor of 6990 is 6990.

4. 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.

Answer:

Least Common Multiple of 6990 and 6996 = 8150340

Step 1: Find the prime factorization of 6990

6990 = 2 x 3 x 5 x 233

Step 2: Find the prime factorization of 6996

6996 = 2 x 2 x 3 x 11 x 53

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

LCM = 8150340 = 2 x 2 x 3 x 5 x 11 x 53 x 233

Step 4: Therefore, the least common multiple of 6990 and 6996 is 8150340.