Given Numbers are 6985, 6989

We can find the LCM of 6985, 6989 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6985 and 6989

Multiples of 6985 =6985,13970,20955,27940,34925,41910,48895,55880,62865,69850,76835,83820,90805,97790,104775,111760,118745,

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 6985, 6989 which is 48818165

So, the LCM of 6985, 6989 is 48818165.

One method for determining the LCM of 6985 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 6985's prime factorization:

Prime factors of 6985 are 5, 11,127.

6985 = 5¹×11¹×127¹

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: 5, 11,127, 29,241

5¹×11¹×29¹×127¹×241¹ = 48818165

This shows that the LCM of 6985 and 6989 is 48818165.

The first step in determining the Least Common Multiple of 6985 and 6989 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6985 and 6989:

Lets look at the first ten multiples of these numbers, 6985 and 6989:

6985,13970,20955,27940,34925,41910,48895,55880,62865,118745 are the first ten multiples of 6985.

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 6985 and 6989, for example, are 83820, 118745, and 111824. 48818165 is the least common multiple since it is the smallest.

6985 and 6989 have an LCM of 48818165.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6985 and 6989, than apply into the LCM equation.

GCF(6985,6989) = 1
LCM(6985,6989) = ( 6985 × 6989) / 1
LCM(6985,6989) = 48818165 / 1
LCM(6985,6989) = 48818165

1. What is the LCM of 6985 and 6989?

The LCM of 6985 and 6989 is 48818165.

2. How to find the lowest common multiple of 6985 and 6989?

To find the lowest common multiple of 6985 and 6989, we have to get the multip;es of both numbers and identify the least common multiple in them which is 48818165.

3. What are the Factors of 6985?

Answer: Factors of 6985 are 1, 5, 11, 55, 127, 635, 1397, 6985. There are 8 integers that are factors of 6985. The greatest factor of 6985 is 6985.

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 6985 and 6989 = 48818165

Step 1: Find the prime factorization of 6985

6985 = 5 x 11 x 127

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 = 48818165 = 5 x 11 x 29 x 127 x 241

Step 4: Therefore, the least common multiple of 6985 and 6989 is 48818165.