Given Numbers are 209, 215

We can find the LCM of 209, 215 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 209 and 215

Multiples of 209 =209,418,627,836,1045,1254,1463,1672,1881,2090,2299,2508,2717,2926,3135,3344,3553,

Multiples of 215 =215,430,645,860,1075,1290,1505,1720,1935,2150,2365,2580,2795,3010,3225,3440,3655,

Now, get the least common multiple of 209, 215 which is 44935

So, the LCM of 209, 215 is 44935.

One method for determining the LCM of 209 and 215 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 209's prime factorization:

Prime factors of 209 are 11,19.

209 = 11¹×19¹

And this is 215's prime factorization:

Prime factors of 215 are 5,43.

215 = 5¹×43¹

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: 11,19, 5,43

5¹×11¹×19¹×43¹ = 44935

This shows that the LCM of 209 and 215 is 44935.

The first step in determining the Least Common Multiple of 209 and 215 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 209 and 215:

Lets look at the first ten multiples of these numbers, 209 and 215:

209,418,627,836,1045,1254,1463,1672,1881,3553 are the first ten multiples of 209.

215,430,645,860,1075,1290,1505,1720,1935,3655 are the first ten multiples of 215.

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 209 and 215, for example, are 2508, 3553, and 3440. 44935 is the least common multiple since it is the smallest.

209 and 215 have an LCM of 44935.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 209 and 215, than apply into the LCM equation.

GCF(209,215) = 1
LCM(209,215) = ( 209 × 215) / 1
LCM(209,215) = 44935 / 1
LCM(209,215) = 44935

1. What is the LCM of 209 and 215?

The LCM of 209 and 215 is 44935.

2. How to find the lowest common multiple of 209 and 215?

To find the lowest common multiple of 209 and 215, we have to get the multip;es of both numbers and identify the least common multiple in them which is 44935.

3. What are the Factors of 209?

Answer: Factors of 209 are 1, 11, 19, 209. There are 4 integers that are factors of 209. The greatest factor of 209 is 209.

4. What are the Factors of 215?

Answer: Factors of 215 are 1, 5, 43, 215. There are 4 integers that are factors of 215. The greatest factor of 215 is 215.

Answer:

Least Common Multiple of 209 and 215 = 44935

Step 1: Find the prime factorization of 209

209 = 11 x 19

Step 2: Find the prime factorization of 215

215 = 5 x 43

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

LCM = 44935 = 5 x 11 x 19 x 43

Step 4: Therefore, the least common multiple of 209 and 215 is 44935.