Given Numbers are 131, 138

We can find the LCM of 131, 138 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 131 and 138

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

Multiples of 138 =138,276,414,552,690,828,966,1104,1242,1380,1518,1656,1794,1932,2070,2208,2346,

Now, get the least common multiple of 131, 138 which is 18078

So, the LCM of 131, 138 is 18078.

One method for determining the LCM of 131 and 138 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 138's prime factorization:

Prime factors of 138 are 2, 3,23.

138 = 2¹×3¹×23¹

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, 2, 3,23

2¹×3¹×23¹×131¹ = 18078

This shows that the LCM of 131 and 138 is 18078.

The first step in determining the Least Common Multiple of 131 and 138 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 131 and 138:

Lets look at the first ten multiples of these numbers, 131 and 138:

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

138,276,414,552,690,828,966,1104,1242,2346 are the first ten multiples of 138.

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 138, for example, are 1572, 2227, and 2208. 18078 is the least common multiple since it is the smallest.

131 and 138 have an LCM of 18078.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 131 and 138, than apply into the LCM equation.

GCF(131,138) = 1
LCM(131,138) = ( 131 × 138) / 1
LCM(131,138) = 18078 / 1
LCM(131,138) = 18078

1. What is the LCM of 131 and 138?

The LCM of 131 and 138 is 18078.

2. How to find the lowest common multiple of 131 and 138?

To find the lowest common multiple of 131 and 138, we have to get the multip;es of both numbers and identify the least common multiple in them which is 18078.

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 138?

Answer: Factors of 138 are 1, 2, 3, 6, 23, 46, 69, 138. There are 8 integers that are factors of 138. The greatest factor of 138 is 138.

Answer:

Least Common Multiple of 131 and 138 = 18078

Step 1: Find the prime factorization of 131

131 = 131

Step 2: Find the prime factorization of 138

138 = 2 x 3 x 23

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

LCM = 18078 = 2 x 3 x 23 x 131

Step 4: Therefore, the least common multiple of 131 and 138 is 18078.