Given Numbers are 41, 49

We can find the LCM of 41, 49 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 41 and 49

Multiples of 41 =41,82,123,164,205,246,287,328,369,410,451,492,533,574,615,656,697,

Multiples of 49 =49,98,147,196,245,294,343,392,441,490,539,588,637,686,735,784,833,

Now, get the least common multiple of 41, 49 which is 2009

So, the LCM of 41, 49 is 2009.

One method for determining the LCM of 41 and 49 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 41's prime factorization:

Prime factors of 41 are 41.

41 = 41¹

And this is 49's prime factorization:

Prime factors of 49 are 7.

49 = 7²

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:41,7

7²×41¹ = 2009

This shows that the LCM of 41 and 49 is 2009.

The first step in determining the Least Common Multiple of 41 and 49 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 41 and 49:

Lets look at the first ten multiples of these numbers, 41 and 49:

41,82,123,164,205,246,287,328,369,697 are the first ten multiples of 41.

49,98,147,196,245,294,343,392,441,833 are the first ten multiples of 49.

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 41 and 49, for example, are 492, 697, and 784. 2009 is the least common multiple since it is the smallest.

41 and 49 have an LCM of 2009.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41 and 49, than apply into the LCM equation.

GCF(41,49) = 1
LCM(41,49) = ( 41 × 49) / 1
LCM(41,49) = 2009 / 1
LCM(41,49) = 2009

1. What is the LCM of 41 and 49?

The LCM of 41 and 49 is 2009.

2. How to find the lowest common multiple of 41 and 49?

To find the lowest common multiple of 41 and 49, we have to get the multip;es of both numbers and identify the least common multiple in them which is 2009.

3. What are the Factors of 41?

Answer: Factors of 41 are 1, 41. There are 2 integers that are factors of 41. The greatest factor of 41 is 41.

4. What are the Factors of 49?

Answer: Factors of 49 are 1, 7, 49. There are 3 integers that are factors of 49. The greatest factor of 49 is 49.

Answer:

Least Common Multiple of 41 and 49 = 2009

Step 1: Find the prime factorization of 41

41 = 41

Step 2: Find the prime factorization of 49

49 = 7 x 7

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

LCM = 2009 = 7 x 7 x 41

Step 4: Therefore, the least common multiple of 41 and 49 is 2009.