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LCM of 7005 and 7013

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


It is easy to find the LCM of 7005 and 7013 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 49126065 as output. Here you can check the answer for Find the LCM of 7005 and 7013.

 

LCM of:
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What is LCM of 7005 and 7013

Given Numbers are 7005, 7013

We can find the LCM of 7005, 7013 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7005 and 7013

Multiples of 7005 =7005,14010,21015,28020,35025,42030,49035,56040,63045,70050,77055,84060,91065,98070,105075,112080,119085,

Multiples of 7013 =7013,14026,21039,28052,35065,42078,49091,56104,63117,70130,77143,84156,91169,98182,105195,112208,119221,

Now, get the least common multiple of 7005, 7013 which is 49126065

So, the LCM of 7005, 7013 is 49126065.

Least Common Multiple (LCM) of 7005 and 7013 with the help of Prime Factorisation

One method for determining the LCM of 7005 and 7013 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 7005's prime factorization:


3 7005
5 2335
467 467
1

Prime factors of 7005 are 3, 5,467.

7005 = 31×51×4671

And this is 7013's prime factorization:


7013 7013
1

Prime factors of 7013 are 7013.

7013 = 70131

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: 3, 5,467,7013

.

31×51×4671×70131 = 49126065

This shows that the LCM of 7005 and 7013 is 49126065.

How to Calculate the LCM of 7005 and 7013 Using Common Multiples

The first step in determining the Least Common Multiple of 7005 and 7013 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7005 and 7013:

Lets look at the first ten multiples of these numbers, 7005 and 7013:

7005,14010,21015,28020,35025,42030,49035,56040,63045,119085 are the first ten multiples of 7005.

7013,14026,21039,28052,35065,42078,49091,56104,63117,119221 are the first ten multiples of 7013.

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 7005 and 7013, for example, are 84060, 119085, and 112208. 49126065 is the least common multiple since it is the smallest.

7005 and 7013 have an LCM of 49126065.

Least Common Multiple of 7005 and 7013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7005 and 7013, than apply into the LCM equation.

GCF(7005,7013) = 1
LCM(7005,7013) = ( 7005 × 7013) / 1
LCM(7005,7013) = 49126065 / 1
LCM(7005,7013) = 49126065

Frequently Asked Questions on LCM of 7005 and 7013

1. What is the LCM of 7005 and 7013?

The LCM of 7005 and 7013 is 49126065.

2. How to find the lowest common multiple of 7005 and 7013?

To find the lowest common multiple of 7005 and 7013, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49126065.

3. What are the Factors of 7005?

Answer: Factors of 7005 are 1, 3, 5, 15, 467, 1401, 2335, 7005. There are 8 integers that are factors of 7005. The greatest factor of 7005 is 7005.

4. What are the Factors of 7013?

Answer: Factors of 7013 are 1, 7013. There are 2 integers that are factors of 7013. The greatest factor of 7013 is 7013.

5. How to Find the LCM of 7005 and 7013?

Answer:

Least Common Multiple of 7005 and 7013 = 49126065

Step 1: Find the prime factorization of 7005

7005 = 3 x 5 x 467

Step 2: Find the prime factorization of 7013

7013 = 7013

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

LCM = 49126065 = 3 x 5 x 467 x 7013

Step 4: Therefore, the least common multiple of 7005 and 7013 is 49126065.