Given Numbers are 7041, 7048

We can find the LCM of 7041, 7048 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7041 and 7048

Multiples of 7041 =7041,14082,21123,28164,35205,42246,49287,56328,63369,70410,77451,84492,91533,98574,105615,112656,119697,

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 7041, 7048 which is 49624968

So, the LCM of 7041, 7048 is 49624968.

One method for determining the LCM of 7041 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 7041's prime factorization:

Prime factors of 7041 are 3,2347.

7041 = 3¹×2347¹

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: 3,2347, 2,881

2³×3¹×881¹×2347¹ = 49624968

This shows that the LCM of 7041 and 7048 is 49624968.

The first step in determining the Least Common Multiple of 7041 and 7048 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7041 and 7048:

Lets look at the first ten multiples of these numbers, 7041 and 7048:

7041,14082,21123,28164,35205,42246,49287,56328,63369,119697 are the first ten multiples of 7041.

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 7041 and 7048, for example, are 84492, 119697, and 112768. 49624968 is the least common multiple since it is the smallest.

7041 and 7048 have an LCM of 49624968.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7041 and 7048, than apply into the LCM equation.

GCF(7041,7048) = 1
LCM(7041,7048) = ( 7041 × 7048) / 1
LCM(7041,7048) = 49624968 / 1
LCM(7041,7048) = 49624968

1. What is the LCM of 7041 and 7048?

The LCM of 7041 and 7048 is 49624968.

2. How to find the lowest common multiple of 7041 and 7048?

To find the lowest common multiple of 7041 and 7048, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49624968.

3. What are the Factors of 7041?

Answer: Factors of 7041 are 1, 3, 2347, 7041. There are 4 integers that are factors of 7041. The greatest factor of 7041 is 7041.

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 7041 and 7048 = 49624968

Step 1: Find the prime factorization of 7041

7041 = 3 x 2347

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 = 49624968 = 2 x 2 x 2 x 3 x 881 x 2347

Step 4: Therefore, the least common multiple of 7041 and 7048 is 49624968.