Given Numbers are 7021, 7025

We can find the LCM of 7021, 7025 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7021 and 7025

Multiples of 7021 =7021,14042,21063,28084,35105,42126,49147,56168,63189,70210,77231,84252,91273,98294,105315,112336,119357,

Multiples of 7025 =7025,14050,21075,28100,35125,42150,49175,56200,63225,70250,77275,84300,91325,98350,105375,112400,119425,

Now, get the least common multiple of 7021, 7025 which is 49322525

So, the LCM of 7021, 7025 is 49322525.

One method for determining the LCM of 7021 and 7025 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 7021's prime factorization:

Prime factors of 7021 are 7, 17,59.

7021 = 7¹×17¹×59¹

And this is 7025's prime factorization:

Prime factors of 7025 are 5,281.

7025 = 5²×281¹

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: 7, 17,59, 5,281

5²×7¹×17¹×59¹×281¹ = 49322525

This shows that the LCM of 7021 and 7025 is 49322525.

The first step in determining the Least Common Multiple of 7021 and 7025 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7021 and 7025:

Lets look at the first ten multiples of these numbers, 7021 and 7025:

7021,14042,21063,28084,35105,42126,49147,56168,63189,119357 are the first ten multiples of 7021.

7025,14050,21075,28100,35125,42150,49175,56200,63225,119425 are the first ten multiples of 7025.

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 7021 and 7025, for example, are 84252, 119357, and 112400. 49322525 is the least common multiple since it is the smallest.

7021 and 7025 have an LCM of 49322525.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7021 and 7025, than apply into the LCM equation.

GCF(7021,7025) = 1
LCM(7021,7025) = ( 7021 × 7025) / 1
LCM(7021,7025) = 49322525 / 1
LCM(7021,7025) = 49322525

1. What is the LCM of 7021 and 7025?

The LCM of 7021 and 7025 is 49322525.

2. How to find the lowest common multiple of 7021 and 7025?

To find the lowest common multiple of 7021 and 7025, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49322525.

3. What are the Factors of 7021?

Answer: Factors of 7021 are 1, 7, 17, 59, 119, 413, 1003, 7021. There are 8 integers that are factors of 7021. The greatest factor of 7021 is 7021.

4. What are the Factors of 7025?

Answer: Factors of 7025 are 1, 5, 25, 281, 1405, 7025. There are 6 integers that are factors of 7025. The greatest factor of 7025 is 7025.

Answer:

Least Common Multiple of 7021 and 7025 = 49322525

Step 1: Find the prime factorization of 7021

7021 = 7 x 17 x 59

Step 2: Find the prime factorization of 7025

7025 = 5 x 5 x 281

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

LCM = 49322525 = 5 x 5 x 7 x 17 x 59 x 281

Step 4: Therefore, the least common multiple of 7021 and 7025 is 49322525.