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LCM of 7038 and 7043

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


It is easy to find the LCM of 7038 and 7043 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 49568634 as output. Here you can check the answer for Find the LCM of 7038 and 7043.

 

LCM of:
and

What is LCM of 7038 and 7043

Given Numbers are 7038, 7043

We can find the LCM of 7038, 7043 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7038 and 7043

Multiples of 7038 =7038,14076,21114,28152,35190,42228,49266,56304,63342,70380,77418,84456,91494,98532,105570,112608,119646,

Multiples of 7043 =7043,14086,21129,28172,35215,42258,49301,56344,63387,70430,77473,84516,91559,98602,105645,112688,119731,

Now, get the least common multiple of 7038, 7043 which is 49568634

So, the LCM of 7038, 7043 is 49568634.

Least Common Multiple (LCM) of 7038 and 7043 with the help of Prime Factorisation

One method for determining the LCM of 7038 and 7043 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 7038's prime factorization:


2 7038
3 3519
3 1173
17 391
23 23
1

Prime factors of 7038 are 2, 3, 17,23.

7038 = 21×32×171×231

And this is 7043's prime factorization:


7043 7043
1

Prime factors of 7043 are 7043.

7043 = 70431

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, 17,23,7043

.

21×32×171×231×70431 = 49568634

This shows that the LCM of 7038 and 7043 is 49568634.

How to Calculate the LCM of 7038 and 7043 Using Common Multiples

The first step in determining the Least Common Multiple of 7038 and 7043 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7038 and 7043:

Lets look at the first ten multiples of these numbers, 7038 and 7043:

7038,14076,21114,28152,35190,42228,49266,56304,63342,119646 are the first ten multiples of 7038.

7043,14086,21129,28172,35215,42258,49301,56344,63387,119731 are the first ten multiples of 7043.

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 7038 and 7043, for example, are 84456, 119646, and 112688. 49568634 is the least common multiple since it is the smallest.

7038 and 7043 have an LCM of 49568634.

Least Common Multiple of 7038 and 7043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7038 and 7043, than apply into the LCM equation.

GCF(7038,7043) = 1
LCM(7038,7043) = ( 7038 × 7043) / 1
LCM(7038,7043) = 49568634 / 1
LCM(7038,7043) = 49568634

Frequently Asked Questions on LCM of 7038 and 7043

1. What is the LCM of 7038 and 7043?

The LCM of 7038 and 7043 is 49568634.

2. How to find the lowest common multiple of 7038 and 7043?

To find the lowest common multiple of 7038 and 7043, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49568634.

3. What are the Factors of 7038?

Answer: Factors of 7038 are 1, 2, 3, 6, 9, 17, 18, 23, 34, 46, 51, 69, 102, 138, 153, 207, 306, 391, 414, 782, 1173, 2346, 3519, 7038. There are 24 integers that are factors of 7038. The greatest factor of 7038 is 7038.

4. What are the Factors of 7043?

Answer: Factors of 7043 are 1, 7043. There are 2 integers that are factors of 7043. The greatest factor of 7043 is 7043.

5. How to Find the LCM of 7038 and 7043?

Answer:

Least Common Multiple of 7038 and 7043 = 49568634

Step 1: Find the prime factorization of 7038

7038 = 2 x 3 x 3 x 17 x 23

Step 2: Find the prime factorization of 7043

7043 = 7043

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

LCM = 49568634 = 2 x 3 x 3 x 17 x 23 x 7043

Step 4: Therefore, the least common multiple of 7038 and 7043 is 49568634.