How to Find the LCM of 7039 and 7047?

LCM of 7039 and 7047

Created By : Bhagya
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

It is easy to find the LCM of 7039 and 7047 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 49603833 as output. Here you can check the answer for Find the LCM of 7039 and 7047.

What is LCM of 7039 and 7047

Given Numbers are 7039, 7047

We can find the LCM of 7039, 7047 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7039 and 7047

Multiples of 7039 =7039,14078,21117,28156,35195,42234,49273,56312,63351,70390,77429,84468,91507,98546,105585,112624,119663,

Multiples of 7047 =7047,14094,21141,28188,35235,42282,49329,56376,63423,70470,77517,84564,91611,98658,105705,112752,119799,

Now, get the least common multiple of 7039, 7047 which is 49603833

So, the LCM of 7039, 7047 is 49603833.

Least Common Multiple (LCM) of 7039 and 7047 with the help of Prime Factorisation

One method for determining the LCM of 7039 and 7047 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 7039's prime factorization:

7039	7039
	1

Prime factors of 7039 are 7039.

7039 = 7039¹

And this is 7047's prime factorization:

3	7047
3	2349
3	783
3	261
3	87
29	29
	1

Prime factors of 7047 are 3,29.

7047 = 3⁵×29¹

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:7039, 3,29

3⁵×29¹×7039¹ = 49603833

This shows that the LCM of 7039 and 7047 is 49603833.

How to Calculate the LCM of 7039 and 7047 Using Common Multiples

The first step in determining the Least Common Multiple of 7039 and 7047 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7039 and 7047:

Lets look at the first ten multiples of these numbers, 7039 and 7047:

7039,14078,21117,28156,35195,42234,49273,56312,63351,119663 are the first ten multiples of 7039.

7047,14094,21141,28188,35235,42282,49329,56376,63423,119799 are the first ten multiples of 7047.

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 7039 and 7047, for example, are 84468, 119663, and 112752. 49603833 is the least common multiple since it is the smallest.

7039 and 7047 have an LCM of 49603833.

Least Common Multiple of 7039 and 7047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7039 and 7047, than apply into the LCM equation.

GCF(7039,7047) = 1
LCM(7039,7047) = ( 7039 × 7047) / 1
LCM(7039,7047) = 49603833 / 1
LCM(7039,7047) = 49603833

Related Least Common Multiples of 7039

Related Least Common Multiples of 7047

Frequently Asked Questions on LCM of 7039 and 7047

1. What is the LCM of 7039 and 7047?

The LCM of 7039 and 7047 is 49603833.

2. How to find the lowest common multiple of 7039 and 7047?

To find the lowest common multiple of 7039 and 7047, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49603833.

3. What are the Factors of 7039?

Answer: Factors of 7039 are 1, 7039. There are 2 integers that are factors of 7039. The greatest factor of 7039 is 7039.

4. What are the Factors of 7047?

Answer: Factors of 7047 are 1, 3, 9, 27, 29, 81, 87, 243, 261, 783, 2349, 7047. There are 12 integers that are factors of 7047. The greatest factor of 7047 is 7047.