Given Numbers are 127, 131

We can find the LCM of 127, 131 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 127 and 131

Multiples of 127 =127,254,381,508,635,762,889,1016,1143,1270,1397,1524,1651,1778,1905,2032,2159,

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

Now, get the least common multiple of 127, 131 which is 16637

So, the LCM of 127, 131 is 16637.

One method for determining the LCM of 127 and 131 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 127's prime factorization:

Prime factors of 127 are 127.

127 = 127¹

And this is 131's prime factorization:

Prime factors of 131 are 131.

131 = 131¹

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:127,131

127¹×131¹ = 16637

This shows that the LCM of 127 and 131 is 16637.

The first step in determining the Least Common Multiple of 127 and 131 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 127 and 131:

Lets look at the first ten multiples of these numbers, 127 and 131:

127,254,381,508,635,762,889,1016,1143,2159 are the first ten multiples of 127.

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

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 127 and 131, for example, are 1524, 2159, and 2096. 16637 is the least common multiple since it is the smallest.

127 and 131 have an LCM of 16637.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 127 and 131, than apply into the LCM equation.

GCF(127,131) = 1
LCM(127,131) = ( 127 × 131) / 1
LCM(127,131) = 16637 / 1
LCM(127,131) = 16637

1. What is the LCM of 127 and 131?

The LCM of 127 and 131 is 16637.

2. How to find the lowest common multiple of 127 and 131?

To find the lowest common multiple of 127 and 131, we have to get the multip;es of both numbers and identify the least common multiple in them which is 16637.

3. What are the Factors of 127?

Answer: Factors of 127 are 1, 127. There are 2 integers that are factors of 127. The greatest factor of 127 is 127.

4. 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.

Answer:

Least Common Multiple of 127 and 131 = 16637

Step 1: Find the prime factorization of 127

127 = 127

Step 2: Find the prime factorization of 131

131 = 131

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

LCM = 16637 = 127 x 131

Step 4: Therefore, the least common multiple of 127 and 131 is 16637.