Given Numbers are 6989, 6996

We can find the LCM of 6989, 6996 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6989 and 6996

Multiples of 6989 =6989,13978,20967,27956,34945,41934,48923,55912,62901,69890,76879,83868,90857,97846,104835,111824,118813,

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 6989, 6996 which is 48895044

So, the LCM of 6989, 6996 is 48895044.

One method for determining the LCM of 6989 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 6989's prime factorization:

Prime factors of 6989 are 29,241.

6989 = 29¹×241¹

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: 29,241, 2, 3, 11,53

2²×3¹×11¹×29¹×53¹×241¹ = 48895044

This shows that the LCM of 6989 and 6996 is 48895044.

The first step in determining the Least Common Multiple of 6989 and 6996 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6989 and 6996:

Lets look at the first ten multiples of these numbers, 6989 and 6996:

6989,13978,20967,27956,34945,41934,48923,55912,62901,118813 are the first ten multiples of 6989.

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 6989 and 6996, for example, are 83868, 118813, and 111936. 48895044 is the least common multiple since it is the smallest.

6989 and 6996 have an LCM of 48895044.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6989 and 6996, than apply into the LCM equation.

GCF(6989,6996) = 1
LCM(6989,6996) = ( 6989 × 6996) / 1
LCM(6989,6996) = 48895044 / 1
LCM(6989,6996) = 48895044

1. What is the LCM of 6989 and 6996?

The LCM of 6989 and 6996 is 48895044.

2. How to find the lowest common multiple of 6989 and 6996?

To find the lowest common multiple of 6989 and 6996, we have to get the multip;es of both numbers and identify the least common multiple in them which is 48895044.

3. What are the Factors of 6989?

Answer: Factors of 6989 are 1, 29, 241, 6989. There are 4 integers that are factors of 6989. The greatest factor of 6989 is 6989.

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 6989 and 6996 = 48895044

Step 1: Find the prime factorization of 6989

6989 = 29 x 241

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 = 48895044 = 2 x 2 x 3 x 11 x 29 x 53 x 241

Step 4: Therefore, the least common multiple of 6989 and 6996 is 48895044.