Given Numbers are 7016, 7023

We can find the LCM of 7016, 7023 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7016 and 7023

Multiples of 7016 =7016,14032,21048,28064,35080,42096,49112,56128,63144,70160,77176,84192,91208,98224,105240,112256,119272,

Multiples of 7023 =7023,14046,21069,28092,35115,42138,49161,56184,63207,70230,77253,84276,91299,98322,105345,112368,119391,

Now, get the least common multiple of 7016, 7023 which is 49273368

So, the LCM of 7016, 7023 is 49273368.

One method for determining the LCM of 7016 and 7023 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 7016's prime factorization:

Prime factors of 7016 are 2,877.

7016 = 2³×877¹

And this is 7023's prime factorization:

Prime factors of 7023 are 3,2341.

7023 = 3¹×2341¹

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: 2,877, 3,2341

2³×3¹×877¹×2341¹ = 49273368

This shows that the LCM of 7016 and 7023 is 49273368.

The first step in determining the Least Common Multiple of 7016 and 7023 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7016 and 7023:

Lets look at the first ten multiples of these numbers, 7016 and 7023:

7016,14032,21048,28064,35080,42096,49112,56128,63144,119272 are the first ten multiples of 7016.

7023,14046,21069,28092,35115,42138,49161,56184,63207,119391 are the first ten multiples of 7023.

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 7016 and 7023, for example, are 84192, 119272, and 112368. 49273368 is the least common multiple since it is the smallest.

7016 and 7023 have an LCM of 49273368.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7016 and 7023, than apply into the LCM equation.

GCF(7016,7023) = 1
LCM(7016,7023) = ( 7016 × 7023) / 1
LCM(7016,7023) = 49273368 / 1
LCM(7016,7023) = 49273368

1. What is the LCM of 7016 and 7023?

The LCM of 7016 and 7023 is 49273368.

2. How to find the lowest common multiple of 7016 and 7023?

To find the lowest common multiple of 7016 and 7023, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49273368.

3. What are the Factors of 7016?

Answer: Factors of 7016 are 1, 2, 4, 8, 877, 1754, 3508, 7016. There are 8 integers that are factors of 7016. The greatest factor of 7016 is 7016.

4. What are the Factors of 7023?

Answer: Factors of 7023 are 1, 3, 2341, 7023. There are 4 integers that are factors of 7023. The greatest factor of 7023 is 7023.

Answer:

Least Common Multiple of 7016 and 7023 = 49273368

Step 1: Find the prime factorization of 7016

7016 = 2 x 2 x 2 x 877

Step 2: Find the prime factorization of 7023

7023 = 3 x 2341

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

LCM = 49273368 = 2 x 2 x 2 x 3 x 877 x 2341

Step 4: Therefore, the least common multiple of 7016 and 7023 is 49273368.