Given Numbers are 39, 43

We can find the LCM of 39, 43 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 39 and 43

Multiples of 39 =39,78,117,156,195,234,273,312,351,390,429,468,507,546,585,624,663,

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

Now, get the least common multiple of 39, 43 which is 1677

So, the LCM of 39, 43 is 1677.

One method for determining the LCM of 39 and 43 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 39's prime factorization:

Prime factors of 39 are 3,13.

39 = 3¹×13¹

And this is 43's prime factorization:

Prime factors of 43 are 43.

43 = 43¹

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: 3,13,43

3¹×13¹×43¹ = 1677

This shows that the LCM of 39 and 43 is 1677.

The first step in determining the Least Common Multiple of 39 and 43 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 39 and 43:

Lets look at the first ten multiples of these numbers, 39 and 43:

39,78,117,156,195,234,273,312,351,663 are the first ten multiples of 39.

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

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 39 and 43, for example, are 468, 663, and 688. 1677 is the least common multiple since it is the smallest.

39 and 43 have an LCM of 1677.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39 and 43, than apply into the LCM equation.

GCF(39,43) = 1
LCM(39,43) = ( 39 × 43) / 1
LCM(39,43) = 1677 / 1
LCM(39,43) = 1677

1. What is the LCM of 39 and 43?

The LCM of 39 and 43 is 1677.

2. How to find the lowest common multiple of 39 and 43?

To find the lowest common multiple of 39 and 43, we have to get the multip;es of both numbers and identify the least common multiple in them which is 1677.

3. What are the Factors of 39?

Answer: Factors of 39 are 1, 3, 13, 39. There are 4 integers that are factors of 39. The greatest factor of 39 is 39.

4. 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.

Answer:

Least Common Multiple of 39 and 43 = 1677

Step 1: Find the prime factorization of 39

39 = 3 x 13

Step 2: Find the prime factorization of 43

43 = 43

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

LCM = 1677 = 3 x 13 x 43

Step 4: Therefore, the least common multiple of 39 and 43 is 1677.