Given Numbers are 7045, 7051

We can find the LCM of 7045, 7051 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7045 and 7051

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

Multiples of 7051 =7051,14102,21153,28204,35255,42306,49357,56408,63459,70510,77561,84612,91663,98714,105765,112816,119867,

Now, get the least common multiple of 7045, 7051 which is 49674295

So, the LCM of 7045, 7051 is 49674295.

One method for determining the LCM of 7045 and 7051 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 7051's prime factorization:

Prime factors of 7051 are 11,641.

7051 = 11¹×641¹

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, 11,641

5¹×11¹×641¹×1409¹ = 49674295

This shows that the LCM of 7045 and 7051 is 49674295.

The first step in determining the Least Common Multiple of 7045 and 7051 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7045 and 7051:

Lets look at the first ten multiples of these numbers, 7045 and 7051:

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

7051,14102,21153,28204,35255,42306,49357,56408,63459,119867 are the first ten multiples of 7051.

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 7051, for example, are 84540, 119765, and 112816. 49674295 is the least common multiple since it is the smallest.

7045 and 7051 have an LCM of 49674295.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7045 and 7051, than apply into the LCM equation.

GCF(7045,7051) = 1
LCM(7045,7051) = ( 7045 × 7051) / 1
LCM(7045,7051) = 49674295 / 1
LCM(7045,7051) = 49674295

1. What is the LCM of 7045 and 7051?

The LCM of 7045 and 7051 is 49674295.

2. How to find the lowest common multiple of 7045 and 7051?

To find the lowest common multiple of 7045 and 7051, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49674295.

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 7051?

Answer: Factors of 7051 are 1, 11, 641, 7051. There are 4 integers that are factors of 7051. The greatest factor of 7051 is 7051.

Answer:

Least Common Multiple of 7045 and 7051 = 49674295

Step 1: Find the prime factorization of 7045

7045 = 5 x 1409

Step 2: Find the prime factorization of 7051

7051 = 11 x 641

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

LCM = 49674295 = 5 x 11 x 641 x 1409

Step 4: Therefore, the least common multiple of 7045 and 7051 is 49674295.