Given Numbers are 7043, 7050

We can find the LCM of 7043, 7050 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7043 and 7050

Multiples of 7043 =7043,14086,21129,28172,35215,42258,49301,56344,63387,70430,77473,84516,91559,98602,105645,112688,119731,

Multiples of 7050 =7050,14100,21150,28200,35250,42300,49350,56400,63450,70500,77550,84600,91650,98700,105750,112800,119850,

Now, get the least common multiple of 7043, 7050 which is 49653150

So, the LCM of 7043, 7050 is 49653150.

One method for determining the LCM of 7043 and 7050 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 7043's prime factorization:

Prime factors of 7043 are 7043.

7043 = 7043¹

And this is 7050's prime factorization:

Prime factors of 7050 are 2, 3, 5,47.

7050 = 2¹×3¹×5²×47¹

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:7043, 2, 3, 5,47

2¹×3¹×5²×47¹×7043¹ = 49653150

This shows that the LCM of 7043 and 7050 is 49653150.

The first step in determining the Least Common Multiple of 7043 and 7050 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7043 and 7050:

Lets look at the first ten multiples of these numbers, 7043 and 7050:

7043,14086,21129,28172,35215,42258,49301,56344,63387,119731 are the first ten multiples of 7043.

7050,14100,21150,28200,35250,42300,49350,56400,63450,119850 are the first ten multiples of 7050.

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 7043 and 7050, for example, are 84516, 119731, and 112800. 49653150 is the least common multiple since it is the smallest.

7043 and 7050 have an LCM of 49653150.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7043 and 7050, than apply into the LCM equation.

GCF(7043,7050) = 1
LCM(7043,7050) = ( 7043 × 7050) / 1
LCM(7043,7050) = 49653150 / 1
LCM(7043,7050) = 49653150

1. What is the LCM of 7043 and 7050?

The LCM of 7043 and 7050 is 49653150.

2. How to find the lowest common multiple of 7043 and 7050?

To find the lowest common multiple of 7043 and 7050, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49653150.

3. What are the Factors of 7043?

Answer: Factors of 7043 are 1, 7043. There are 2 integers that are factors of 7043. The greatest factor of 7043 is 7043.

4. What are the Factors of 7050?

Answer: Factors of 7050 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 47, 50, 75, 94, 141, 150, 235, 282, 470, 705, 1175, 1410, 2350, 3525, 7050. There are 24 integers that are factors of 7050. The greatest factor of 7050 is 7050.

Answer:

Least Common Multiple of 7043 and 7050 = 49653150

Step 1: Find the prime factorization of 7043

7043 = 7043

Step 2: Find the prime factorization of 7050

7050 = 2 x 3 x 5 x 5 x 47

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

LCM = 49653150 = 2 x 3 x 5 x 5 x 47 x 7043

Step 4: Therefore, the least common multiple of 7043 and 7050 is 49653150.