Given Numbers are 7017, 7022

We can find the LCM of 7017, 7022 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7017 and 7022

Multiples of 7017 =7017,14034,21051,28068,35085,42102,49119,56136,63153,70170,77187,84204,91221,98238,105255,112272,119289,

Multiples of 7022 =7022,14044,21066,28088,35110,42132,49154,56176,63198,70220,77242,84264,91286,98308,105330,112352,119374,

Now, get the least common multiple of 7017, 7022 which is 49273374

So, the LCM of 7017, 7022 is 49273374.

One method for determining the LCM of 7017 and 7022 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 7017's prime factorization:

Prime factors of 7017 are 3,2339.

7017 = 3¹×2339¹

And this is 7022's prime factorization:

Prime factors of 7022 are 2,3511.

7022 = 2¹×3511¹

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: 3,2339, 2,3511

2¹×3¹×2339¹×3511¹ = 49273374

This shows that the LCM of 7017 and 7022 is 49273374.

The first step in determining the Least Common Multiple of 7017 and 7022 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7017 and 7022:

Lets look at the first ten multiples of these numbers, 7017 and 7022:

7017,14034,21051,28068,35085,42102,49119,56136,63153,119289 are the first ten multiples of 7017.

7022,14044,21066,28088,35110,42132,49154,56176,63198,119374 are the first ten multiples of 7022.

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 7017 and 7022, for example, are 84204, 119289, and 112352. 49273374 is the least common multiple since it is the smallest.

7017 and 7022 have an LCM of 49273374.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7017 and 7022, than apply into the LCM equation.

GCF(7017,7022) = 1
LCM(7017,7022) = ( 7017 × 7022) / 1
LCM(7017,7022) = 49273374 / 1
LCM(7017,7022) = 49273374

1. What is the LCM of 7017 and 7022?

The LCM of 7017 and 7022 is 49273374.

2. How to find the lowest common multiple of 7017 and 7022?

To find the lowest common multiple of 7017 and 7022, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49273374.

3. What are the Factors of 7017?

Answer: Factors of 7017 are 1, 3, 2339, 7017. There are 4 integers that are factors of 7017. The greatest factor of 7017 is 7017.

4. What are the Factors of 7022?

Answer: Factors of 7022 are 1, 2, 3511, 7022. There are 4 integers that are factors of 7022. The greatest factor of 7022 is 7022.

Answer:

Least Common Multiple of 7017 and 7022 = 49273374

Step 1: Find the prime factorization of 7017

7017 = 3 x 2339

Step 2: Find the prime factorization of 7022

7022 = 2 x 3511

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

LCM = 49273374 = 2 x 3 x 2339 x 3511

Step 4: Therefore, the least common multiple of 7017 and 7022 is 49273374.