Given Numbers are 127, 132

We can find the LCM of 127, 132 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 127 and 132

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

Multiples of 132 =132,264,396,528,660,792,924,1056,1188,1320,1452,1584,1716,1848,1980,2112,2244,

Now, get the least common multiple of 127, 132 which is 16764

So, the LCM of 127, 132 is 16764.

One method for determining the LCM of 127 and 132 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 132's prime factorization:

Prime factors of 132 are 2, 3,11.

132 = 2²×3¹×11¹

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, 2, 3,11

2²×3¹×11¹×127¹ = 16764

This shows that the LCM of 127 and 132 is 16764.

The first step in determining the Least Common Multiple of 127 and 132 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 127 and 132:

Lets look at the first ten multiples of these numbers, 127 and 132:

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

132,264,396,528,660,792,924,1056,1188,2244 are the first ten multiples of 132.

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 132, for example, are 1524, 2159, and 2112. 16764 is the least common multiple since it is the smallest.

127 and 132 have an LCM of 16764.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 127 and 132, than apply into the LCM equation.

GCF(127,132) = 1
LCM(127,132) = ( 127 × 132) / 1
LCM(127,132) = 16764 / 1
LCM(127,132) = 16764

1. What is the LCM of 127 and 132?

The LCM of 127 and 132 is 16764.

2. How to find the lowest common multiple of 127 and 132?

To find the lowest common multiple of 127 and 132, we have to get the multip;es of both numbers and identify the least common multiple in them which is 16764.

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 132?

Answer: Factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132. There are 12 integers that are factors of 132. The greatest factor of 132 is 132.

Answer:

Least Common Multiple of 127 and 132 = 16764

Step 1: Find the prime factorization of 127

127 = 127

Step 2: Find the prime factorization of 132

132 = 2 x 2 x 3 x 11

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

LCM = 16764 = 2 x 2 x 3 x 11 x 127

Step 4: Therefore, the least common multiple of 127 and 132 is 16764.