Given Numbers are 6989, 6997

We can find the LCM of 6989, 6997 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6989 and 6997

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

Multiples of 6997 =6997,13994,20991,27988,34985,41982,48979,55976,62973,69970,76967,83964,90961,97958,104955,111952,118949,

Now, get the least common multiple of 6989, 6997 which is 48902033

So, the LCM of 6989, 6997 is 48902033.

One method for determining the LCM of 6989 and 6997 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 6997's prime factorization:

Prime factors of 6997 are 6997.

6997 = 6997¹

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: 29,241,6997

29¹×241¹×6997¹ = 48902033

This shows that the LCM of 6989 and 6997 is 48902033.

The first step in determining the Least Common Multiple of 6989 and 6997 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6989 and 6997:

Lets look at the first ten multiples of these numbers, 6989 and 6997:

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

6997,13994,20991,27988,34985,41982,48979,55976,62973,118949 are the first ten multiples of 6997.

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 6997, for example, are 83868, 118813, and 111952. 48902033 is the least common multiple since it is the smallest.

6989 and 6997 have an LCM of 48902033.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6989 and 6997, than apply into the LCM equation.

GCF(6989,6997) = 1
LCM(6989,6997) = ( 6989 × 6997) / 1
LCM(6989,6997) = 48902033 / 1
LCM(6989,6997) = 48902033

1. What is the LCM of 6989 and 6997?

The LCM of 6989 and 6997 is 48902033.

2. How to find the lowest common multiple of 6989 and 6997?

To find the lowest common multiple of 6989 and 6997, we have to get the multip;es of both numbers and identify the least common multiple in them which is 48902033.

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 6997?

Answer: Factors of 6997 are 1, 6997. There are 2 integers that are factors of 6997. The greatest factor of 6997 is 6997.

Answer:

Least Common Multiple of 6989 and 6997 = 48902033

Step 1: Find the prime factorization of 6989

6989 = 29 x 241

Step 2: Find the prime factorization of 6997

6997 = 6997

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

LCM = 48902033 = 29 x 241 x 6997

Step 4: Therefore, the least common multiple of 6989 and 6997 is 48902033.