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LCM of 7044 and 7051

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


It is easy to find the LCM of 7044 and 7051 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 49667244 as output. Here you can check the answer for Find the LCM of 7044 and 7051.

 

LCM of:
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What is LCM of 7044 and 7051

Given Numbers are 7044, 7051

We can find the LCM of 7044, 7051 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7044 and 7051

Multiples of 7044 =7044,14088,21132,28176,35220,42264,49308,56352,63396,70440,77484,84528,91572,98616,105660,112704,119748,

Multiples of 7051 =7051,14102,21153,28204,35255,42306,49357,56408,63459,70510,77561,84612,91663,98714,105765,112816,119867,

Now, get the least common multiple of 7044, 7051 which is 49667244

So, the LCM of 7044, 7051 is 49667244.

Least Common Multiple (LCM) of 7044 and 7051 with the help of Prime Factorisation

One method for determining the LCM of 7044 and 7051 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 7044's prime factorization:


2 7044
2 3522
3 1761
587 587
1

Prime factors of 7044 are 2, 3,587.

7044 = 22×31×5871

And this is 7051's prime factorization:


11 7051
641 641
1

Prime factors of 7051 are 11,641.

7051 = 111×6411

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, 3,587, 11,641

.

22×31×111×5871×6411 = 49667244

This shows that the LCM of 7044 and 7051 is 49667244.

How to Calculate the LCM of 7044 and 7051 Using Common Multiples

The first step in determining the Least Common Multiple of 7044 and 7051 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7044 and 7051:

Lets look at the first ten multiples of these numbers, 7044 and 7051:

7044,14088,21132,28176,35220,42264,49308,56352,63396,119748 are the first ten multiples of 7044.

7051,14102,21153,28204,35255,42306,49357,56408,63459,119867 are the first ten multiples of 7051.

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 7044 and 7051, for example, are 84528, 119748, and 112816. 49667244 is the least common multiple since it is the smallest.

7044 and 7051 have an LCM of 49667244.

Least Common Multiple of 7044 and 7051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7044 and 7051, than apply into the LCM equation.

GCF(7044,7051) = 1
LCM(7044,7051) = ( 7044 × 7051) / 1
LCM(7044,7051) = 49667244 / 1
LCM(7044,7051) = 49667244

Frequently Asked Questions on LCM of 7044 and 7051

1. What is the LCM of 7044 and 7051?

The LCM of 7044 and 7051 is 49667244.

2. How to find the lowest common multiple of 7044 and 7051?

To find the lowest common multiple of 7044 and 7051, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49667244.

3. What are the Factors of 7044?

Answer: Factors of 7044 are 1, 2, 3, 4, 6, 12, 587, 1174, 1761, 2348, 3522, 7044. There are 12 integers that are factors of 7044. The greatest factor of 7044 is 7044.

4. What are the Factors of 7051?

Answer: Factors of 7051 are 1, 11, 641, 7051. There are 4 integers that are factors of 7051. The greatest factor of 7051 is 7051.

5. How to Find the LCM of 7044 and 7051?

Answer:

Least Common Multiple of 7044 and 7051 = 49667244

Step 1: Find the prime factorization of 7044

7044 = 2 x 2 x 3 x 587

Step 2: Find the prime factorization of 7051

7051 = 11 x 641

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

LCM = 49667244 = 2 x 2 x 3 x 11 x 587 x 641

Step 4: Therefore, the least common multiple of 7044 and 7051 is 49667244.