Given Numbers are 7008, 7015

We can find the LCM of 7008, 7015 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7008 and 7015

Multiples of 7008 =7008,14016,21024,28032,35040,42048,49056,56064,63072,70080,77088,84096,91104,98112,105120,112128,119136,

Multiples of 7015 =7015,14030,21045,28060,35075,42090,49105,56120,63135,70150,77165,84180,91195,98210,105225,112240,119255,

Now, get the least common multiple of 7008, 7015 which is 49161120

So, the LCM of 7008, 7015 is 49161120.

One method for determining the LCM of 7008 and 7015 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 7008's prime factorization:

Prime factors of 7008 are 2, 3,73.

7008 = 2⁵×3¹×73¹

And this is 7015's prime factorization:

Prime factors of 7015 are 5, 23,61.

7015 = 5¹×23¹×61¹

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, 3,73, 5, 23,61

2⁵×3¹×5¹×23¹×61¹×73¹ = 49161120

This shows that the LCM of 7008 and 7015 is 49161120.

The first step in determining the Least Common Multiple of 7008 and 7015 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7008 and 7015:

Lets look at the first ten multiples of these numbers, 7008 and 7015:

7008,14016,21024,28032,35040,42048,49056,56064,63072,119136 are the first ten multiples of 7008.

7015,14030,21045,28060,35075,42090,49105,56120,63135,119255 are the first ten multiples of 7015.

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 7008 and 7015, for example, are 84096, 119136, and 112240. 49161120 is the least common multiple since it is the smallest.

7008 and 7015 have an LCM of 49161120.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7008 and 7015, than apply into the LCM equation.

GCF(7008,7015) = 1
LCM(7008,7015) = ( 7008 × 7015) / 1
LCM(7008,7015) = 49161120 / 1
LCM(7008,7015) = 49161120

1. What is the LCM of 7008 and 7015?

The LCM of 7008 and 7015 is 49161120.

2. How to find the lowest common multiple of 7008 and 7015?

To find the lowest common multiple of 7008 and 7015, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49161120.

3. What are the Factors of 7008?

Answer: Factors of 7008 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 73, 96, 146, 219, 292, 438, 584, 876, 1168, 1752, 2336, 3504, 7008. There are 24 integers that are factors of 7008. The greatest factor of 7008 is 7008.

4. What are the Factors of 7015?

Answer: Factors of 7015 are 1, 5, 23, 61, 115, 305, 1403, 7015. There are 8 integers that are factors of 7015. The greatest factor of 7015 is 7015.

Answer:

Least Common Multiple of 7008 and 7015 = 49161120

Step 1: Find the prime factorization of 7008

7008 = 2 x 2 x 2 x 2 x 2 x 3 x 73

Step 2: Find the prime factorization of 7015

7015 = 5 x 23 x 61

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

LCM = 49161120 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 23 x 61 x 73

Step 4: Therefore, the least common multiple of 7008 and 7015 is 49161120.