Given Numbers are 43, 51

We can find the LCM of 43, 51 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 43 and 51

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

Multiples of 51 =51,102,153,204,255,306,357,408,459,510,561,612,663,714,765,816,867,

Now, get the least common multiple of 43, 51 which is 2193

So, the LCM of 43, 51 is 2193.

One method for determining the LCM of 43 and 51 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 51's prime factorization:

Prime factors of 51 are 3,17.

51 = 3¹×17¹

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, 3,17

3¹×17¹×43¹ = 2193

This shows that the LCM of 43 and 51 is 2193.

The first step in determining the Least Common Multiple of 43 and 51 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 43 and 51:

Lets look at the first ten multiples of these numbers, 43 and 51:

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

51,102,153,204,255,306,357,408,459,867 are the first ten multiples of 51.

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 51, for example, are 516, 731, and 816. 2193 is the least common multiple since it is the smallest.

43 and 51 have an LCM of 2193.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43 and 51, than apply into the LCM equation.

GCF(43,51) = 1
LCM(43,51) = ( 43 × 51) / 1
LCM(43,51) = 2193 / 1
LCM(43,51) = 2193

1. What is the LCM of 43 and 51?

The LCM of 43 and 51 is 2193.

2. How to find the lowest common multiple of 43 and 51?

To find the lowest common multiple of 43 and 51, we have to get the multip;es of both numbers and identify the least common multiple in them which is 2193.

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 51?

Answer: Factors of 51 are 1, 3, 17, 51. There are 4 integers that are factors of 51. The greatest factor of 51 is 51.

Answer:

Least Common Multiple of 43 and 51 = 2193

Step 1: Find the prime factorization of 43

43 = 43

Step 2: Find the prime factorization of 51

51 = 3 x 17

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

LCM = 2193 = 3 x 17 x 43

Step 4: Therefore, the least common multiple of 43 and 51 is 2193.