Given Numbers are 7045, 7050

We can find the LCM of 7045, 7050 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7045 and 7050

Multiples of 7045 =7045,14090,21135,28180,35225,42270,49315,56360,63405,70450,77495,84540,91585,98630,105675,112720,119765,

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 7045, 7050 which is 9933450

So, the LCM of 7045, 7050 is 9933450.

One method for determining the LCM of 7045 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 7045's prime factorization:

Prime factors of 7045 are 5,1409.

7045 = 5¹×1409¹

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: 5,1409, 2, 3,47

2¹×3¹×5²×47¹×1409¹ = 9933450

This shows that the LCM of 7045 and 7050 is 9933450.

The first step in determining the Least Common Multiple of 7045 and 7050 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7045 and 7050:

Lets look at the first ten multiples of these numbers, 7045 and 7050:

7045,14090,21135,28180,35225,42270,49315,56360,63405,119765 are the first ten multiples of 7045.

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 7045 and 7050, for example, are 84540, 119765, and 112800. 9933450 is the least common multiple since it is the smallest.

7045 and 7050 have an LCM of 9933450.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7045 and 7050, than apply into the LCM equation.

GCF(7045,7050) = 5
LCM(7045,7050) = ( 7045 × 7050) / 5
LCM(7045,7050) = 49667250 / 5
LCM(7045,7050) = 9933450

1. What is the LCM of 7045 and 7050?

The LCM of 7045 and 7050 is 9933450.

2. How to find the lowest common multiple of 7045 and 7050?

To find the lowest common multiple of 7045 and 7050, we have to get the multip;es of both numbers and identify the least common multiple in them which is 9933450.

3. What are the Factors of 7045?

Answer: Factors of 7045 are 1, 5, 1409, 7045. There are 4 integers that are factors of 7045. The greatest factor of 7045 is 7045.

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 7045 and 7050 = 9933450

Step 1: Find the prime factorization of 7045

7045 = 5 x 1409

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 = 9933450 = 2 x 3 x 5 x 5 x 47 x 1409

Step 4: Therefore, the least common multiple of 7045 and 7050 is 9933450.