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LCM of 7044 and 7050

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


It is easy to find the LCM of 7044 and 7050 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 8276700 as output. Here you can check the answer for Find the LCM of 7044 and 7050.

 

LCM of:
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What is LCM of 7044 and 7050

Given Numbers are 7044, 7050

We can find the LCM of 7044, 7050 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7044 and 7050

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

Multiples of 7050 =7050,14100,21150,28200,35250,42300,49350,56400,63450,70500,77550,84600,91650,98700,105750,112800,119850,

Now, get the least common multiple of 7044, 7050 which is 8276700

So, the LCM of 7044, 7050 is 8276700.

Least Common Multiple (LCM) of 7044 and 7050 with the help of Prime Factorisation

One method for determining the LCM of 7044 and 7050 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 7050's prime factorization:


2 7050
3 3525
5 1175
5 235
47 47
1

Prime factors of 7050 are 2, 3, 5,47.

7050 = 21×31×52×471

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, 5,47

.

22×31×52×471×5871 = 8276700

This shows that the LCM of 7044 and 7050 is 8276700.

How to Calculate the LCM of 7044 and 7050 Using Common Multiples

The first step in determining the Least Common Multiple of 7044 and 7050 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7044 and 7050:

Lets look at the first ten multiples of these numbers, 7044 and 7050:

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

7050,14100,21150,28200,35250,42300,49350,56400,63450,119850 are the first ten multiples of 7050.

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 7050, for example, are 84528, 119748, and 112800. 8276700 is the least common multiple since it is the smallest.

7044 and 7050 have an LCM of 8276700.

Least Common Multiple of 7044 and 7050 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 7050, than apply into the LCM equation.

GCF(7044,7050) = 6
LCM(7044,7050) = ( 7044 × 7050) / 6
LCM(7044,7050) = 49660200 / 6
LCM(7044,7050) = 8276700

Frequently Asked Questions on LCM of 7044 and 7050

1. What is the LCM of 7044 and 7050?

The LCM of 7044 and 7050 is 8276700.

2. How to find the lowest common multiple of 7044 and 7050?

To find the lowest common multiple of 7044 and 7050, we have to get the multip;es of both numbers and identify the least common multiple in them which is 8276700.

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 7050?

Answer: Factors of 7050 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 47, 50, 75, 94, 141, 150, 235, 282, 470, 705, 1175, 1410, 2350, 3525, 7050. There are 24 integers that are factors of 7050. The greatest factor of 7050 is 7050.

5. How to Find the LCM of 7044 and 7050?

Answer:

Least Common Multiple of 7044 and 7050 = 8276700

Step 1: Find the prime factorization of 7044

7044 = 2 x 2 x 3 x 587

Step 2: Find the prime factorization of 7050

7050 = 2 x 3 x 5 x 5 x 47

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

LCM = 8276700 = 2 x 2 x 3 x 5 x 5 x 47 x 587

Step 4: Therefore, the least common multiple of 7044 and 7050 is 8276700.