Given Numbers are 131, 139

We can find the LCM of 131, 139 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 131 and 139

Multiples of 131 =131,262,393,524,655,786,917,1048,1179,1310,1441,1572,1703,1834,1965,2096,2227,

Multiples of 139 =139,278,417,556,695,834,973,1112,1251,1390,1529,1668,1807,1946,2085,2224,2363,

Now, get the least common multiple of 131, 139 which is 18209

So, the LCM of 131, 139 is 18209.

One method for determining the LCM of 131 and 139 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 131's prime factorization:

Prime factors of 131 are 131.

131 = 131¹

And this is 139's prime factorization:

Prime factors of 139 are 139.

139 = 139¹

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:131,139

131¹×139¹ = 18209

This shows that the LCM of 131 and 139 is 18209.

The first step in determining the Least Common Multiple of 131 and 139 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 131 and 139:

Lets look at the first ten multiples of these numbers, 131 and 139:

131,262,393,524,655,786,917,1048,1179,2227 are the first ten multiples of 131.

139,278,417,556,695,834,973,1112,1251,2363 are the first ten multiples of 139.

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 131 and 139, for example, are 1572, 2227, and 2224. 18209 is the least common multiple since it is the smallest.

131 and 139 have an LCM of 18209.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 131 and 139, than apply into the LCM equation.

GCF(131,139) = 1
LCM(131,139) = ( 131 × 139) / 1
LCM(131,139) = 18209 / 1
LCM(131,139) = 18209

1. What is the LCM of 131 and 139?

The LCM of 131 and 139 is 18209.

2. How to find the lowest common multiple of 131 and 139?

To find the lowest common multiple of 131 and 139, we have to get the multip;es of both numbers and identify the least common multiple in them which is 18209.

3. What are the Factors of 131?

Answer: Factors of 131 are 1, 131. There are 2 integers that are factors of 131. The greatest factor of 131 is 131.

4. What are the Factors of 139?

Answer: Factors of 139 are 1, 139. There are 2 integers that are factors of 139. The greatest factor of 139 is 139.

Answer:

Least Common Multiple of 131 and 139 = 18209

Step 1: Find the prime factorization of 131

131 = 131

Step 2: Find the prime factorization of 139

139 = 139

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

LCM = 18209 = 131 x 139

Step 4: Therefore, the least common multiple of 131 and 139 is 18209.