Given Numbers are 131, 137

We can find the LCM of 131, 137 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 131 and 137

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

Multiples of 137 =137,274,411,548,685,822,959,1096,1233,1370,1507,1644,1781,1918,2055,2192,2329,

Now, get the least common multiple of 131, 137 which is 17947

So, the LCM of 131, 137 is 17947.

One method for determining the LCM of 131 and 137 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 137's prime factorization:

Prime factors of 137 are 137.

137 = 137¹

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:131,137

131¹×137¹ = 17947

This shows that the LCM of 131 and 137 is 17947.

The first step in determining the Least Common Multiple of 131 and 137 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 131 and 137:

Lets look at the first ten multiples of these numbers, 131 and 137:

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

137,274,411,548,685,822,959,1096,1233,2329 are the first ten multiples of 137.

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 137, for example, are 1572, 2227, and 2192. 17947 is the least common multiple since it is the smallest.

131 and 137 have an LCM of 17947.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 131 and 137, than apply into the LCM equation.

GCF(131,137) = 1
LCM(131,137) = ( 131 × 137) / 1
LCM(131,137) = 17947 / 1
LCM(131,137) = 17947

1. What is the LCM of 131 and 137?

The LCM of 131 and 137 is 17947.

2. How to find the lowest common multiple of 131 and 137?

To find the lowest common multiple of 131 and 137, we have to get the multip;es of both numbers and identify the least common multiple in them which is 17947.

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 137?

Answer: Factors of 137 are 1, 137. There are 2 integers that are factors of 137. The greatest factor of 137 is 137.

Answer:

Least Common Multiple of 131 and 137 = 17947

Step 1: Find the prime factorization of 131

131 = 131

Step 2: Find the prime factorization of 137

137 = 137

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

LCM = 17947 = 131 x 137

Step 4: Therefore, the least common multiple of 131 and 137 is 17947.