Given Numbers are 177, 185

We can find the LCM of 177, 185 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 177 and 185

Multiples of 177 =177,354,531,708,885,1062,1239,1416,1593,1770,1947,2124,2301,2478,2655,2832,3009,

Multiples of 185 =185,370,555,740,925,1110,1295,1480,1665,1850,2035,2220,2405,2590,2775,2960,3145,

Now, get the least common multiple of 177, 185 which is 32745

So, the LCM of 177, 185 is 32745.

One method for determining the LCM of 177 and 185 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 177's prime factorization:

Prime factors of 177 are 3,59.

177 = 3¹×59¹

And this is 185's prime factorization:

Prime factors of 185 are 5,37.

185 = 5¹×37¹

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: 3,59, 5,37

3¹×5¹×37¹×59¹ = 32745

This shows that the LCM of 177 and 185 is 32745.

The first step in determining the Least Common Multiple of 177 and 185 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 177 and 185:

Lets look at the first ten multiples of these numbers, 177 and 185:

177,354,531,708,885,1062,1239,1416,1593,3009 are the first ten multiples of 177.

185,370,555,740,925,1110,1295,1480,1665,3145 are the first ten multiples of 185.

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 177 and 185, for example, are 2124, 3009, and 2960. 32745 is the least common multiple since it is the smallest.

177 and 185 have an LCM of 32745.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 177 and 185, than apply into the LCM equation.

GCF(177,185) = 1
LCM(177,185) = ( 177 × 185) / 1
LCM(177,185) = 32745 / 1
LCM(177,185) = 32745

1. What is the LCM of 177 and 185?

The LCM of 177 and 185 is 32745.

2. How to find the lowest common multiple of 177 and 185?

To find the lowest common multiple of 177 and 185, we have to get the multip;es of both numbers and identify the least common multiple in them which is 32745.

3. What are the Factors of 177?

Answer: Factors of 177 are 1, 3, 59, 177. There are 4 integers that are factors of 177. The greatest factor of 177 is 177.

4. What are the Factors of 185?

Answer: Factors of 185 are 1, 5, 37, 185. There are 4 integers that are factors of 185. The greatest factor of 185 is 185.

Answer:

Least Common Multiple of 177 and 185 = 32745

Step 1: Find the prime factorization of 177

177 = 3 x 59

Step 2: Find the prime factorization of 185

185 = 5 x 37

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

LCM = 32745 = 3 x 5 x 37 x 59

Step 4: Therefore, the least common multiple of 177 and 185 is 32745.