Given Numbers are 43, 49

We can find the LCM of 43, 49 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 43 and 49

Multiples of 43 =43,86,129,172,215,258,301,344,387,430,473,516,559,602,645,688,731,

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 43, 49 which is 2107

So, the LCM of 43, 49 is 2107.

One method for determining the LCM of 43 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 43's prime factorization:

Prime factors of 43 are 43.

43 = 43¹

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:43,7

7²×43¹ = 2107

This shows that the LCM of 43 and 49 is 2107.

The first step in determining the Least Common Multiple of 43 and 49 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 43 and 49:

Lets look at the first ten multiples of these numbers, 43 and 49:

43,86,129,172,215,258,301,344,387,731 are the first ten multiples of 43.

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 43 and 49, for example, are 516, 731, and 784. 2107 is the least common multiple since it is the smallest.

43 and 49 have an LCM of 2107.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43 and 49, than apply into the LCM equation.

GCF(43,49) = 1
LCM(43,49) = ( 43 × 49) / 1
LCM(43,49) = 2107 / 1
LCM(43,49) = 2107

1. What is the LCM of 43 and 49?

The LCM of 43 and 49 is 2107.

2. How to find the lowest common multiple of 43 and 49?

To find the lowest common multiple of 43 and 49, we have to get the multip;es of both numbers and identify the least common multiple in them which is 2107.

3. What are the Factors of 43?

Answer: Factors of 43 are 1, 43. There are 2 integers that are factors of 43. The greatest factor of 43 is 43.

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 43 and 49 = 2107

Step 1: Find the prime factorization of 43

43 = 43

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 = 2107 = 7 x 7 x 43

Step 4: Therefore, the least common multiple of 43 and 49 is 2107.