Given Numbers are 6999, 7006

We can find the LCM of 6999, 7006 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6999 and 7006

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

Multiples of 7006 =7006,14012,21018,28024,35030,42036,49042,56048,63054,70060,77066,84072,91078,98084,105090,112096,119102,

Now, get the least common multiple of 6999, 7006 which is 49034994

So, the LCM of 6999, 7006 is 49034994.

One method for determining the LCM of 6999 and 7006 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 7006's prime factorization:

Prime factors of 7006 are 2, 31,113.

7006 = 2¹×31¹×113¹

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, 2, 31,113

2¹×3¹×31¹×113¹×2333¹ = 49034994

This shows that the LCM of 6999 and 7006 is 49034994.

The first step in determining the Least Common Multiple of 6999 and 7006 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6999 and 7006:

Lets look at the first ten multiples of these numbers, 6999 and 7006:

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

7006,14012,21018,28024,35030,42036,49042,56048,63054,119102 are the first ten multiples of 7006.

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 7006, for example, are 83988, 118983, and 112096. 49034994 is the least common multiple since it is the smallest.

6999 and 7006 have an LCM of 49034994.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6999 and 7006, than apply into the LCM equation.

GCF(6999,7006) = 1
LCM(6999,7006) = ( 6999 × 7006) / 1
LCM(6999,7006) = 49034994 / 1
LCM(6999,7006) = 49034994

1. What is the LCM of 6999 and 7006?

The LCM of 6999 and 7006 is 49034994.

2. How to find the lowest common multiple of 6999 and 7006?

To find the lowest common multiple of 6999 and 7006, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49034994.

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 7006?

Answer: Factors of 7006 are 1, 2, 31, 62, 113, 226, 3503, 7006. There are 8 integers that are factors of 7006. The greatest factor of 7006 is 7006.

Answer:

Least Common Multiple of 6999 and 7006 = 49034994

Step 1: Find the prime factorization of 6999

6999 = 3 x 2333

Step 2: Find the prime factorization of 7006

7006 = 2 x 31 x 113

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

LCM = 49034994 = 2 x 3 x 31 x 113 x 2333

Step 4: Therefore, the least common multiple of 6999 and 7006 is 49034994.