Given Numbers are 7036, 7042

We can find the LCM of 7036, 7042 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7036 and 7042

Multiples of 7036 =7036,14072,21108,28144,35180,42216,49252,56288,63324,70360,77396,84432,91468,98504,105540,112576,119612,

Multiples of 7042 =7042,14084,21126,28168,35210,42252,49294,56336,63378,70420,77462,84504,91546,98588,105630,112672,119714,

Now, get the least common multiple of 7036, 7042 which is 24773756

So, the LCM of 7036, 7042 is 24773756.

One method for determining the LCM of 7036 and 7042 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 7036's prime factorization:

Prime factors of 7036 are 2,1759.

7036 = 2²×1759¹

And this is 7042's prime factorization:

Prime factors of 7042 are 2, 7,503.

7042 = 2¹×7¹×503¹

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: 2,1759, 7,503

2²×7¹×503¹×1759¹ = 24773756

This shows that the LCM of 7036 and 7042 is 24773756.

The first step in determining the Least Common Multiple of 7036 and 7042 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7036 and 7042:

Lets look at the first ten multiples of these numbers, 7036 and 7042:

7036,14072,21108,28144,35180,42216,49252,56288,63324,119612 are the first ten multiples of 7036.

7042,14084,21126,28168,35210,42252,49294,56336,63378,119714 are the first ten multiples of 7042.

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 7036 and 7042, for example, are 84432, 119612, and 112672. 24773756 is the least common multiple since it is the smallest.

7036 and 7042 have an LCM of 24773756.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7036 and 7042, than apply into the LCM equation.

GCF(7036,7042) = 2
LCM(7036,7042) = ( 7036 × 7042) / 2
LCM(7036,7042) = 49547512 / 2
LCM(7036,7042) = 24773756

1. What is the LCM of 7036 and 7042?

The LCM of 7036 and 7042 is 24773756.

2. How to find the lowest common multiple of 7036 and 7042?

To find the lowest common multiple of 7036 and 7042, we have to get the multip;es of both numbers and identify the least common multiple in them which is 24773756.

3. What are the Factors of 7036?

Answer: Factors of 7036 are 1, 2, 4, 1759, 3518, 7036. There are 6 integers that are factors of 7036. The greatest factor of 7036 is 7036.

4. What are the Factors of 7042?

Answer: Factors of 7042 are 1, 2, 7, 14, 503, 1006, 3521, 7042. There are 8 integers that are factors of 7042. The greatest factor of 7042 is 7042.

Answer:

Least Common Multiple of 7036 and 7042 = 24773756

Step 1: Find the prime factorization of 7036

7036 = 2 x 2 x 1759

Step 2: Find the prime factorization of 7042

7042 = 2 x 7 x 503

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

LCM = 24773756 = 2 x 2 x 7 x 503 x 1759

Step 4: Therefore, the least common multiple of 7036 and 7042 is 24773756.