Given Numbers are 7042, 7049

We can find the LCM of 7042, 7049 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7042 and 7049

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

Multiples of 7049 =7049,14098,21147,28196,35245,42294,49343,56392,63441,70490,77539,84588,91637,98686,105735,112784,119833,

Now, get the least common multiple of 7042, 7049 which is 7091294

So, the LCM of 7042, 7049 is 7091294.

One method for determining the LCM of 7042 and 7049 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 7042's prime factorization:

Prime factors of 7042 are 2, 7,503.

7042 = 2¹×7¹×503¹

And this is 7049's prime factorization:

Prime factors of 7049 are 7, 19,53.

7049 = 7¹×19¹×53¹

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, 7,503, 19,53

2¹×7¹×19¹×53¹×503¹ = 7091294

This shows that the LCM of 7042 and 7049 is 7091294.

The first step in determining the Least Common Multiple of 7042 and 7049 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7042 and 7049:

Lets look at the first ten multiples of these numbers, 7042 and 7049:

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

7049,14098,21147,28196,35245,42294,49343,56392,63441,119833 are the first ten multiples of 7049.

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 7042 and 7049, for example, are 84504, 119714, and 112784. 7091294 is the least common multiple since it is the smallest.

7042 and 7049 have an LCM of 7091294.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7042 and 7049, than apply into the LCM equation.

GCF(7042,7049) = 7
LCM(7042,7049) = ( 7042 × 7049) / 7
LCM(7042,7049) = 49639058 / 7
LCM(7042,7049) = 7091294

1. What is the LCM of 7042 and 7049?

The LCM of 7042 and 7049 is 7091294.

2. How to find the lowest common multiple of 7042 and 7049?

To find the lowest common multiple of 7042 and 7049, we have to get the multip;es of both numbers and identify the least common multiple in them which is 7091294.

3. 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.

4. What are the Factors of 7049?

Answer: Factors of 7049 are 1, 7, 19, 53, 133, 371, 1007, 7049. There are 8 integers that are factors of 7049. The greatest factor of 7049 is 7049.

Answer:

Least Common Multiple of 7042 and 7049 = 7091294

Step 1: Find the prime factorization of 7042

7042 = 2 x 7 x 503

Step 2: Find the prime factorization of 7049

7049 = 7 x 19 x 53

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

LCM = 7091294 = 2 x 7 x 19 x 53 x 503

Step 4: Therefore, the least common multiple of 7042 and 7049 is 7091294.