Given Numbers are 34, 41

We can find the LCM of 34, 41 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 34 and 41

Multiples of 34 =34,68,102,136,170,204,238,272,306,340,374,408,442,476,510,544,578,

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

Now, get the least common multiple of 34, 41 which is 1394

So, the LCM of 34, 41 is 1394.

One method for determining the LCM of 34 and 41 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 34's prime factorization:

Prime factors of 34 are 2,17.

34 = 2¹×17¹

And this is 41's prime factorization:

Prime factors of 41 are 41.

41 = 41¹

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: 2,17,41

2¹×17¹×41¹ = 1394

This shows that the LCM of 34 and 41 is 1394.

The first step in determining the Least Common Multiple of 34 and 41 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 34 and 41:

Lets look at the first ten multiples of these numbers, 34 and 41:

34,68,102,136,170,204,238,272,306,578 are the first ten multiples of 34.

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

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 34 and 41, for example, are 408, 578, and 656. 1394 is the least common multiple since it is the smallest.

34 and 41 have an LCM of 1394.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34 and 41, than apply into the LCM equation.

GCF(34,41) = 1
LCM(34,41) = ( 34 × 41) / 1
LCM(34,41) = 1394 / 1
LCM(34,41) = 1394

1. What is the LCM of 34 and 41?

The LCM of 34 and 41 is 1394.

2. How to find the lowest common multiple of 34 and 41?

To find the lowest common multiple of 34 and 41, we have to get the multip;es of both numbers and identify the least common multiple in them which is 1394.

3. What are the Factors of 34?

Answer: Factors of 34 are 1, 2, 17, 34. There are 4 integers that are factors of 34. The greatest factor of 34 is 34.

4. 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.

Answer:

Least Common Multiple of 34 and 41 = 1394

Step 1: Find the prime factorization of 34

34 = 2 x 17

Step 2: Find the prime factorization of 41

41 = 41

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

LCM = 1394 = 2 x 17 x 41

Step 4: Therefore, the least common multiple of 34 and 41 is 1394.