Given Numbers are 101, 107

We can find the LCM of 101, 107 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 101 and 107

Multiples of 101 =101,202,303,404,505,606,707,808,909,1010,1111,1212,1313,1414,1515,1616,1717,

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 101, 107 which is 10807

So, the LCM of 101, 107 is 10807.

One method for determining the LCM of 101 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 101's prime factorization:

Prime factors of 101 are 101.

101 = 101¹

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:101,107

101¹×107¹ = 10807

This shows that the LCM of 101 and 107 is 10807.

The first step in determining the Least Common Multiple of 101 and 107 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 101 and 107:

Lets look at the first ten multiples of these numbers, 101 and 107:

101,202,303,404,505,606,707,808,909,1717 are the first ten multiples of 101.

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 101 and 107, for example, are 1212, 1717, and 1712. 10807 is the least common multiple since it is the smallest.

101 and 107 have an LCM of 10807.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 101 and 107, than apply into the LCM equation.

GCF(101,107) = 1
LCM(101,107) = ( 101 × 107) / 1
LCM(101,107) = 10807 / 1
LCM(101,107) = 10807

1. What is the LCM of 101 and 107?

The LCM of 101 and 107 is 10807.

2. How to find the lowest common multiple of 101 and 107?

To find the lowest common multiple of 101 and 107, we have to get the multip;es of both numbers and identify the least common multiple in them which is 10807.

3. What are the Factors of 101?

Answer: Factors of 101 are 1, 101. There are 2 integers that are factors of 101. The greatest factor of 101 is 101.

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 101 and 107 = 10807

Step 1: Find the prime factorization of 101

101 = 101

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 = 10807 = 101 x 107

Step 4: Therefore, the least common multiple of 101 and 107 is 10807.