Given Numbers are 183, 191

We can find the LCM of 183, 191 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 183 and 191

Multiples of 183 =183,366,549,732,915,1098,1281,1464,1647,1830,2013,2196,2379,2562,2745,2928,3111,

Multiples of 191 =191,382,573,764,955,1146,1337,1528,1719,1910,2101,2292,2483,2674,2865,3056,3247,

Now, get the least common multiple of 183, 191 which is 34953

So, the LCM of 183, 191 is 34953.

One method for determining the LCM of 183 and 191 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 183's prime factorization:

Prime factors of 183 are 3,61.

183 = 3¹×61¹

And this is 191's prime factorization:

Prime factors of 191 are 191.

191 = 191¹

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: 3,61,191

3¹×61¹×191¹ = 34953

This shows that the LCM of 183 and 191 is 34953.

The first step in determining the Least Common Multiple of 183 and 191 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 183 and 191:

Lets look at the first ten multiples of these numbers, 183 and 191:

183,366,549,732,915,1098,1281,1464,1647,3111 are the first ten multiples of 183.

191,382,573,764,955,1146,1337,1528,1719,3247 are the first ten multiples of 191.

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 183 and 191, for example, are 2196, 3111, and 3056. 34953 is the least common multiple since it is the smallest.

183 and 191 have an LCM of 34953.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 183 and 191, than apply into the LCM equation.

GCF(183,191) = 1
LCM(183,191) = ( 183 × 191) / 1
LCM(183,191) = 34953 / 1
LCM(183,191) = 34953

1. What is the LCM of 183 and 191?

The LCM of 183 and 191 is 34953.

2. How to find the lowest common multiple of 183 and 191?

To find the lowest common multiple of 183 and 191, we have to get the multip;es of both numbers and identify the least common multiple in them which is 34953.

3. What are the Factors of 183?

Answer: Factors of 183 are 1, 3, 61, 183. There are 4 integers that are factors of 183. The greatest factor of 183 is 183.

4. What are the Factors of 191?

Answer: Factors of 191 are 1, 191. There are 2 integers that are factors of 191. The greatest factor of 191 is 191.

Answer:

Least Common Multiple of 183 and 191 = 34953

Step 1: Find the prime factorization of 183

183 = 3 x 61

Step 2: Find the prime factorization of 191

191 = 191

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

LCM = 34953 = 3 x 61 x 191

Step 4: Therefore, the least common multiple of 183 and 191 is 34953.