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.
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.
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.
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.
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
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.