Given Numbers are 7042, 7048

We can find the LCM of 7042, 7048 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7042 and 7048

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

Multiples of 7048 =7048,14096,21144,28192,35240,42288,49336,56384,63432,70480,77528,84576,91624,98672,105720,112768,119816,

Now, get the least common multiple of 7042, 7048 which is 24816008

So, the LCM of 7042, 7048 is 24816008.

One method for determining the LCM of 7042 and 7048 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 7048's prime factorization:

Prime factors of 7048 are 2,881.

7048 = 2³×881¹

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, 7,503,881

2³×7¹×503¹×881¹ = 24816008

This shows that the LCM of 7042 and 7048 is 24816008.

The first step in determining the Least Common Multiple of 7042 and 7048 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7042 and 7048:

Lets look at the first ten multiples of these numbers, 7042 and 7048:

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

7048,14096,21144,28192,35240,42288,49336,56384,63432,119816 are the first ten multiples of 7048.

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 7048, for example, are 84504, 119714, and 112768. 24816008 is the least common multiple since it is the smallest.

7042 and 7048 have an LCM of 24816008.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7042 and 7048, than apply into the LCM equation.

GCF(7042,7048) = 2
LCM(7042,7048) = ( 7042 × 7048) / 2
LCM(7042,7048) = 49632016 / 2
LCM(7042,7048) = 24816008

1. What is the LCM of 7042 and 7048?

The LCM of 7042 and 7048 is 24816008.

2. How to find the lowest common multiple of 7042 and 7048?

To find the lowest common multiple of 7042 and 7048, we have to get the multip;es of both numbers and identify the least common multiple in them which is 24816008.

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 7048?

Answer: Factors of 7048 are 1, 2, 4, 8, 881, 1762, 3524, 7048. There are 8 integers that are factors of 7048. The greatest factor of 7048 is 7048.

Answer:

Least Common Multiple of 7042 and 7048 = 24816008

Step 1: Find the prime factorization of 7042

7042 = 2 x 7 x 503

Step 2: Find the prime factorization of 7048

7048 = 2 x 2 x 2 x 881

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

LCM = 24816008 = 2 x 2 x 2 x 7 x 503 x 881

Step 4: Therefore, the least common multiple of 7042 and 7048 is 24816008.