Given Numbers are 41, 46

We can find the LCM of 41, 46 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 41 and 46

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

Multiples of 46 =46,92,138,184,230,276,322,368,414,460,506,552,598,644,690,736,782,

Now, get the least common multiple of 41, 46 which is 1886

So, the LCM of 41, 46 is 1886.

One method for determining the LCM of 41 and 46 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 46's prime factorization:

Prime factors of 46 are 2,23.

46 = 2¹×23¹

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, 2,23

2¹×23¹×41¹ = 1886

This shows that the LCM of 41 and 46 is 1886.

The first step in determining the Least Common Multiple of 41 and 46 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 41 and 46:

Lets look at the first ten multiples of these numbers, 41 and 46:

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

46,92,138,184,230,276,322,368,414,782 are the first ten multiples of 46.

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 46, for example, are 492, 697, and 736. 1886 is the least common multiple since it is the smallest.

41 and 46 have an LCM of 1886.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41 and 46, than apply into the LCM equation.

GCF(41,46) = 1
LCM(41,46) = ( 41 × 46) / 1
LCM(41,46) = 1886 / 1
LCM(41,46) = 1886

1. What is the LCM of 41 and 46?

The LCM of 41 and 46 is 1886.

2. How to find the lowest common multiple of 41 and 46?

To find the lowest common multiple of 41 and 46, we have to get the multip;es of both numbers and identify the least common multiple in them which is 1886.

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 46?

Answer: Factors of 46 are 1, 2, 23, 46. There are 4 integers that are factors of 46. The greatest factor of 46 is 46.

Answer:

Least Common Multiple of 41 and 46 = 1886

Step 1: Find the prime factorization of 41

41 = 41

Step 2: Find the prime factorization of 46

46 = 2 x 23

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

LCM = 1886 = 2 x 23 x 41

Step 4: Therefore, the least common multiple of 41 and 46 is 1886.