Given Numbers are 7045, 7053

We can find the LCM of 7045, 7053 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7045 and 7053

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

Multiples of 7053 =7053,14106,21159,28212,35265,42318,49371,56424,63477,70530,77583,84636,91689,98742,105795,112848,119901,

Now, get the least common multiple of 7045, 7053 which is 49688385

So, the LCM of 7045, 7053 is 49688385.

One method for determining the LCM of 7045 and 7053 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 7053's prime factorization:

Prime factors of 7053 are 3,2351.

7053 = 3¹×2351¹

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, 3,2351

3¹×5¹×1409¹×2351¹ = 49688385

This shows that the LCM of 7045 and 7053 is 49688385.

The first step in determining the Least Common Multiple of 7045 and 7053 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7045 and 7053:

Lets look at the first ten multiples of these numbers, 7045 and 7053:

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

7053,14106,21159,28212,35265,42318,49371,56424,63477,119901 are the first ten multiples of 7053.

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 7053, for example, are 84540, 119765, and 112848. 49688385 is the least common multiple since it is the smallest.

7045 and 7053 have an LCM of 49688385.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7045 and 7053, than apply into the LCM equation.

GCF(7045,7053) = 1
LCM(7045,7053) = ( 7045 × 7053) / 1
LCM(7045,7053) = 49688385 / 1
LCM(7045,7053) = 49688385

1. What is the LCM of 7045 and 7053?

The LCM of 7045 and 7053 is 49688385.

2. How to find the lowest common multiple of 7045 and 7053?

To find the lowest common multiple of 7045 and 7053, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49688385.

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 7053?

Answer: Factors of 7053 are 1, 3, 2351, 7053. There are 4 integers that are factors of 7053. The greatest factor of 7053 is 7053.

Answer:

Least Common Multiple of 7045 and 7053 = 49688385

Step 1: Find the prime factorization of 7045

7045 = 5 x 1409

Step 2: Find the prime factorization of 7053

7053 = 3 x 2351

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

LCM = 49688385 = 3 x 5 x 1409 x 2351

Step 4: Therefore, the least common multiple of 7045 and 7053 is 49688385.