Given Numbers are 7020, 7027

We can find the LCM of 7020, 7027 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7020 and 7027

Multiples of 7020 =7020,14040,21060,28080,35100,42120,49140,56160,63180,70200,77220,84240,91260,98280,105300,112320,119340,

Multiples of 7027 =7027,14054,21081,28108,35135,42162,49189,56216,63243,70270,77297,84324,91351,98378,105405,112432,119459,

Now, get the least common multiple of 7020, 7027 which is 49329540

So, the LCM of 7020, 7027 is 49329540.

One method for determining the LCM of 7020 and 7027 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 7020's prime factorization:

Prime factors of 7020 are 2, 3, 5,13.

7020 = 2²×3³×5¹×13¹

And this is 7027's prime factorization:

Prime factors of 7027 are 7027.

7027 = 7027¹

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, 5,13,7027

2²×3³×5¹×13¹×7027¹ = 49329540

This shows that the LCM of 7020 and 7027 is 49329540.

The first step in determining the Least Common Multiple of 7020 and 7027 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7020 and 7027:

Lets look at the first ten multiples of these numbers, 7020 and 7027:

7020,14040,21060,28080,35100,42120,49140,56160,63180,119340 are the first ten multiples of 7020.

7027,14054,21081,28108,35135,42162,49189,56216,63243,119459 are the first ten multiples of 7027.

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 7020 and 7027, for example, are 84240, 119340, and 112432. 49329540 is the least common multiple since it is the smallest.

7020 and 7027 have an LCM of 49329540.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7020 and 7027, than apply into the LCM equation.

GCF(7020,7027) = 1
LCM(7020,7027) = ( 7020 × 7027) / 1
LCM(7020,7027) = 49329540 / 1
LCM(7020,7027) = 49329540

1. What is the LCM of 7020 and 7027?

The LCM of 7020 and 7027 is 49329540.

2. How to find the lowest common multiple of 7020 and 7027?

To find the lowest common multiple of 7020 and 7027, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49329540.

3. What are the Factors of 7020?

Answer: Factors of 7020 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 27, 30, 36, 39, 45, 52, 54, 60, 65, 78, 90, 108, 117, 130, 135, 156, 180, 195, 234, 260, 270, 351, 390, 468, 540, 585, 702, 780, 1170, 1404, 1755, 2340, 3510, 7020. There are 48 integers that are factors of 7020. The greatest factor of 7020 is 7020.

4. What are the Factors of 7027?

Answer: Factors of 7027 are 1, 7027. There are 2 integers that are factors of 7027. The greatest factor of 7027 is 7027.

Answer:

Least Common Multiple of 7020 and 7027 = 49329540

Step 1: Find the prime factorization of 7020

7020 = 2 x 2 x 3 x 3 x 3 x 5 x 13

Step 2: Find the prime factorization of 7027

7027 = 7027

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

LCM = 49329540 = 2 x 2 x 3 x 3 x 3 x 5 x 13 x 7027

Step 4: Therefore, the least common multiple of 7020 and 7027 is 49329540.