Given Numbers are 131, 136

We can find the LCM of 131, 136 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 131 and 136

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

Multiples of 136 =136,272,408,544,680,816,952,1088,1224,1360,1496,1632,1768,1904,2040,2176,2312,

Now, get the least common multiple of 131, 136 which is 17816

So, the LCM of 131, 136 is 17816.

One method for determining the LCM of 131 and 136 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 136's prime factorization:

Prime factors of 136 are 2,17.

136 = 2³×17¹

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, 2,17

2³×17¹×131¹ = 17816

This shows that the LCM of 131 and 136 is 17816.

The first step in determining the Least Common Multiple of 131 and 136 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 131 and 136:

Lets look at the first ten multiples of these numbers, 131 and 136:

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

136,272,408,544,680,816,952,1088,1224,2312 are the first ten multiples of 136.

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 136, for example, are 1572, 2227, and 2176. 17816 is the least common multiple since it is the smallest.

131 and 136 have an LCM of 17816.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 131 and 136, than apply into the LCM equation.

GCF(131,136) = 1
LCM(131,136) = ( 131 × 136) / 1
LCM(131,136) = 17816 / 1
LCM(131,136) = 17816

1. What is the LCM of 131 and 136?

The LCM of 131 and 136 is 17816.

2. How to find the lowest common multiple of 131 and 136?

To find the lowest common multiple of 131 and 136, we have to get the multip;es of both numbers and identify the least common multiple in them which is 17816.

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 136?

Answer: Factors of 136 are 1, 2, 4, 8, 17, 34, 68, 136. There are 8 integers that are factors of 136. The greatest factor of 136 is 136.

Answer:

Least Common Multiple of 131 and 136 = 17816

Step 1: Find the prime factorization of 131

131 = 131

Step 2: Find the prime factorization of 136

136 = 2 x 2 x 2 x 17

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

LCM = 17816 = 2 x 2 x 2 x 17 x 131

Step 4: Therefore, the least common multiple of 131 and 136 is 17816.