Given Numbers are 132, 137

We can find the LCM of 132, 137 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 132 and 137

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

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 132, 137 which is 18084

So, the LCM of 132, 137 is 18084.

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

Prime factors of 132 are 2, 3,11.

132 = 2²×3¹×11¹

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: 2, 3,11,137

2²×3¹×11¹×137¹ = 18084

This shows that the LCM of 132 and 137 is 18084.

The first step in determining the Least Common Multiple of 132 and 137 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 132 and 137:

Lets look at the first ten multiples of these numbers, 132 and 137:

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

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 132 and 137, for example, are 1584, 2244, and 2192. 18084 is the least common multiple since it is the smallest.

132 and 137 have an LCM of 18084.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 132 and 137, than apply into the LCM equation.

GCF(132,137) = 1
LCM(132,137) = ( 132 × 137) / 1
LCM(132,137) = 18084 / 1
LCM(132,137) = 18084

1. What is the LCM of 132 and 137?

The LCM of 132 and 137 is 18084.

2. How to find the lowest common multiple of 132 and 137?

To find the lowest common multiple of 132 and 137, we have to get the multip;es of both numbers and identify the least common multiple in them which is 18084.

3. 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.

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 132 and 137 = 18084

Step 1: Find the prime factorization of 132

132 = 2 x 2 x 3 x 11

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 = 18084 = 2 x 2 x 3 x 11 x 137

Step 4: Therefore, the least common multiple of 132 and 137 is 18084.