Given Numbers are 126, 131

We can find the LCM of 126, 131 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 126 and 131

Multiples of 126 =126,252,378,504,630,756,882,1008,1134,1260,1386,1512,1638,1764,1890,2016,2142,

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 126, 131 which is 16506

So, the LCM of 126, 131 is 16506.

One method for determining the LCM of 126 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 126's prime factorization:

Prime factors of 126 are 2, 3,7.

126 = 2¹×3²×7¹

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: 2, 3,7,131

2¹×3²×7¹×131¹ = 16506

This shows that the LCM of 126 and 131 is 16506.

The first step in determining the Least Common Multiple of 126 and 131 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 126 and 131:

Lets look at the first ten multiples of these numbers, 126 and 131:

126,252,378,504,630,756,882,1008,1134,2142 are the first ten multiples of 126.

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 126 and 131, for example, are 1512, 2142, and 2096. 16506 is the least common multiple since it is the smallest.

126 and 131 have an LCM of 16506.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 126 and 131, than apply into the LCM equation.

GCF(126,131) = 1
LCM(126,131) = ( 126 × 131) / 1
LCM(126,131) = 16506 / 1
LCM(126,131) = 16506

1. What is the LCM of 126 and 131?

The LCM of 126 and 131 is 16506.

2. How to find the lowest common multiple of 126 and 131?

To find the lowest common multiple of 126 and 131, we have to get the multip;es of both numbers and identify the least common multiple in them which is 16506.

3. What are the Factors of 126?

Answer: Factors of 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126. There are 12 integers that are factors of 126. The greatest factor of 126 is 126.

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 126 and 131 = 16506

Step 1: Find the prime factorization of 126

126 = 2 x 3 x 3 x 7

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 = 16506 = 2 x 3 x 3 x 7 x 131

Step 4: Therefore, the least common multiple of 126 and 131 is 16506.