Given Numbers are 6984, 6989

We can find the LCM of 6984, 6989 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6984 and 6989

Multiples of 6984 =6984,13968,20952,27936,34920,41904,48888,55872,62856,69840,76824,83808,90792,97776,104760,111744,118728,

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

Now, get the least common multiple of 6984, 6989 which is 48811176

So, the LCM of 6984, 6989 is 48811176.

One method for determining the LCM of 6984 and 6989 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 6984's prime factorization:

Prime factors of 6984 are 2, 3,97.

6984 = 2³×3²×97¹

And this is 6989's prime factorization:

Prime factors of 6989 are 29,241.

6989 = 29¹×241¹

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, 3,97, 29,241

2³×3²×29¹×97¹×241¹ = 48811176

This shows that the LCM of 6984 and 6989 is 48811176.

The first step in determining the Least Common Multiple of 6984 and 6989 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6984 and 6989:

Lets look at the first ten multiples of these numbers, 6984 and 6989:

6984,13968,20952,27936,34920,41904,48888,55872,62856,118728 are the first ten multiples of 6984.

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

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 6984 and 6989, for example, are 83808, 118728, and 111824. 48811176 is the least common multiple since it is the smallest.

6984 and 6989 have an LCM of 48811176.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6984 and 6989, than apply into the LCM equation.

GCF(6984,6989) = 1
LCM(6984,6989) = ( 6984 × 6989) / 1
LCM(6984,6989) = 48811176 / 1
LCM(6984,6989) = 48811176

1. What is the LCM of 6984 and 6989?

The LCM of 6984 and 6989 is 48811176.

2. How to find the lowest common multiple of 6984 and 6989?

To find the lowest common multiple of 6984 and 6989, we have to get the multip;es of both numbers and identify the least common multiple in them which is 48811176.

3. What are the Factors of 6984?

Answer: Factors of 6984 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 97, 194, 291, 388, 582, 776, 873, 1164, 1746, 2328, 3492, 6984. There are 24 integers that are factors of 6984. The greatest factor of 6984 is 6984.

4. 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.

Answer:

Least Common Multiple of 6984 and 6989 = 48811176

Step 1: Find the prime factorization of 6984

6984 = 2 x 2 x 2 x 3 x 3 x 97

Step 2: Find the prime factorization of 6989

6989 = 29 x 241

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

LCM = 48811176 = 2 x 2 x 2 x 3 x 3 x 29 x 97 x 241

Step 4: Therefore, the least common multiple of 6984 and 6989 is 48811176.