Given Numbers are 6999, 7007

We can find the LCM of 6999, 7007 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6999 and 7007

Multiples of 6999 =6999,13998,20997,27996,34995,41994,48993,55992,62991,69990,76989,83988,90987,97986,104985,111984,118983,

Multiples of 7007 =7007,14014,21021,28028,35035,42042,49049,56056,63063,70070,77077,84084,91091,98098,105105,112112,119119,

Now, get the least common multiple of 6999, 7007 which is 49041993

So, the LCM of 6999, 7007 is 49041993.

One method for determining the LCM of 6999 and 7007 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 6999's prime factorization:

Prime factors of 6999 are 3,2333.

6999 = 3¹×2333¹

And this is 7007's prime factorization:

Prime factors of 7007 are 7, 11,13.

7007 = 7²×11¹×13¹

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: 3,2333, 7, 11,13

3¹×7²×11¹×13¹×2333¹ = 49041993

This shows that the LCM of 6999 and 7007 is 49041993.

The first step in determining the Least Common Multiple of 6999 and 7007 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6999 and 7007:

Lets look at the first ten multiples of these numbers, 6999 and 7007:

6999,13998,20997,27996,34995,41994,48993,55992,62991,118983 are the first ten multiples of 6999.

7007,14014,21021,28028,35035,42042,49049,56056,63063,119119 are the first ten multiples of 7007.

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 6999 and 7007, for example, are 83988, 118983, and 112112. 49041993 is the least common multiple since it is the smallest.

6999 and 7007 have an LCM of 49041993.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6999 and 7007, than apply into the LCM equation.

GCF(6999,7007) = 1
LCM(6999,7007) = ( 6999 × 7007) / 1
LCM(6999,7007) = 49041993 / 1
LCM(6999,7007) = 49041993

1. What is the LCM of 6999 and 7007?

The LCM of 6999 and 7007 is 49041993.

2. How to find the lowest common multiple of 6999 and 7007?

To find the lowest common multiple of 6999 and 7007, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49041993.

3. What are the Factors of 6999?

Answer: Factors of 6999 are 1, 3, 2333, 6999. There are 4 integers that are factors of 6999. The greatest factor of 6999 is 6999.

4. What are the Factors of 7007?

Answer: Factors of 7007 are 1, 7, 11, 13, 49, 77, 91, 143, 539, 637, 1001, 7007. There are 12 integers that are factors of 7007. The greatest factor of 7007 is 7007.

Answer:

Least Common Multiple of 6999 and 7007 = 49041993

Step 1: Find the prime factorization of 6999

6999 = 3 x 2333

Step 2: Find the prime factorization of 7007

7007 = 7 x 7 x 11 x 13

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

LCM = 49041993 = 3 x 7 x 7 x 11 x 13 x 2333

Step 4: Therefore, the least common multiple of 6999 and 7007 is 49041993.