Given Numbers are 7038, 7045

We can find the LCM of 7038, 7045 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7038 and 7045

Multiples of 7038 =7038,14076,21114,28152,35190,42228,49266,56304,63342,70380,77418,84456,91494,98532,105570,112608,119646,

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

Now, get the least common multiple of 7038, 7045 which is 49582710

So, the LCM of 7038, 7045 is 49582710.

One method for determining the LCM of 7038 and 7045 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 7038's prime factorization:

Prime factors of 7038 are 2, 3, 17,23.

7038 = 2¹×3²×17¹×23¹

And this is 7045's prime factorization:

Prime factors of 7045 are 5,1409.

7045 = 5¹×1409¹

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, 3, 17,23, 5,1409

2¹×3²×5¹×17¹×23¹×1409¹ = 49582710

This shows that the LCM of 7038 and 7045 is 49582710.

The first step in determining the Least Common Multiple of 7038 and 7045 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7038 and 7045:

Lets look at the first ten multiples of these numbers, 7038 and 7045:

7038,14076,21114,28152,35190,42228,49266,56304,63342,119646 are the first ten multiples of 7038.

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

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 7038 and 7045, for example, are 84456, 119646, and 112720. 49582710 is the least common multiple since it is the smallest.

7038 and 7045 have an LCM of 49582710.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7038 and 7045, than apply into the LCM equation.

GCF(7038,7045) = 1
LCM(7038,7045) = ( 7038 × 7045) / 1
LCM(7038,7045) = 49582710 / 1
LCM(7038,7045) = 49582710

1. What is the LCM of 7038 and 7045?

The LCM of 7038 and 7045 is 49582710.

2. How to find the lowest common multiple of 7038 and 7045?

To find the lowest common multiple of 7038 and 7045, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49582710.

3. What are the Factors of 7038?

Answer: Factors of 7038 are 1, 2, 3, 6, 9, 17, 18, 23, 34, 46, 51, 69, 102, 138, 153, 207, 306, 391, 414, 782, 1173, 2346, 3519, 7038. There are 24 integers that are factors of 7038. The greatest factor of 7038 is 7038.

4. 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.

Answer:

Least Common Multiple of 7038 and 7045 = 49582710

Step 1: Find the prime factorization of 7038

7038 = 2 x 3 x 3 x 17 x 23

Step 2: Find the prime factorization of 7045

7045 = 5 x 1409

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

LCM = 49582710 = 2 x 3 x 3 x 5 x 17 x 23 x 1409

Step 4: Therefore, the least common multiple of 7038 and 7045 is 49582710.