Given Numbers are 7041, 7049

We can find the LCM of 7041, 7049 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7041 and 7049

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

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 7041, 7049 which is 49632009

So, the LCM of 7041, 7049 is 49632009.

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

Prime factors of 7041 are 3,2347.

7041 = 3¹×2347¹

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: 3,2347, 7, 19,53

3¹×7¹×19¹×53¹×2347¹ = 49632009

This shows that the LCM of 7041 and 7049 is 49632009.

The first step in determining the Least Common Multiple of 7041 and 7049 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7041 and 7049:

Lets look at the first ten multiples of these numbers, 7041 and 7049:

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

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 7041 and 7049, for example, are 84492, 119697, and 112784. 49632009 is the least common multiple since it is the smallest.

7041 and 7049 have an LCM of 49632009.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7041 and 7049, than apply into the LCM equation.

GCF(7041,7049) = 1
LCM(7041,7049) = ( 7041 × 7049) / 1
LCM(7041,7049) = 49632009 / 1
LCM(7041,7049) = 49632009

1. What is the LCM of 7041 and 7049?

The LCM of 7041 and 7049 is 49632009.

2. How to find the lowest common multiple of 7041 and 7049?

To find the lowest common multiple of 7041 and 7049, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49632009.

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 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 7041 and 7049 = 49632009

Step 1: Find the prime factorization of 7041

7041 = 3 x 2347

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 = 49632009 = 3 x 7 x 19 x 53 x 2347

Step 4: Therefore, the least common multiple of 7041 and 7049 is 49632009.