Given Numbers are 103, 107

We can find the LCM of 103, 107 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 103 and 107

Multiples of 103 =103,206,309,412,515,618,721,824,927,1030,1133,1236,1339,1442,1545,1648,1751,

Multiples of 107 =107,214,321,428,535,642,749,856,963,1070,1177,1284,1391,1498,1605,1712,1819,

Now, get the least common multiple of 103, 107 which is 11021

So, the LCM of 103, 107 is 11021.

One method for determining the LCM of 103 and 107 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 103's prime factorization:

Prime factors of 103 are 103.

103 = 103¹

And this is 107's prime factorization:

Prime factors of 107 are 107.

107 = 107¹

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:103,107

103¹×107¹ = 11021

This shows that the LCM of 103 and 107 is 11021.

The first step in determining the Least Common Multiple of 103 and 107 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 103 and 107:

Lets look at the first ten multiples of these numbers, 103 and 107:

103,206,309,412,515,618,721,824,927,1751 are the first ten multiples of 103.

107,214,321,428,535,642,749,856,963,1819 are the first ten multiples of 107.

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 103 and 107, for example, are 1236, 1751, and 1712. 11021 is the least common multiple since it is the smallest.

103 and 107 have an LCM of 11021.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 103 and 107, than apply into the LCM equation.

GCF(103,107) = 1
LCM(103,107) = ( 103 × 107) / 1
LCM(103,107) = 11021 / 1
LCM(103,107) = 11021

1. What is the LCM of 103 and 107?

The LCM of 103 and 107 is 11021.

2. How to find the lowest common multiple of 103 and 107?

To find the lowest common multiple of 103 and 107, we have to get the multip;es of both numbers and identify the least common multiple in them which is 11021.

3. What are the Factors of 103?

Answer: Factors of 103 are 1, 103. There are 2 integers that are factors of 103. The greatest factor of 103 is 103.

4. What are the Factors of 107?

Answer: Factors of 107 are 1, 107. There are 2 integers that are factors of 107. The greatest factor of 107 is 107.

Answer:

Least Common Multiple of 103 and 107 = 11021

Step 1: Find the prime factorization of 103

103 = 103

Step 2: Find the prime factorization of 107

107 = 107

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

LCM = 11021 = 103 x 107

Step 4: Therefore, the least common multiple of 103 and 107 is 11021.