Given Numbers are 186, 194

We can find the LCM of 186, 194 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 186 and 194

Multiples of 186 =186,372,558,744,930,1116,1302,1488,1674,1860,2046,2232,2418,2604,2790,2976,3162,

Multiples of 194 =194,388,582,776,970,1164,1358,1552,1746,1940,2134,2328,2522,2716,2910,3104,3298,

Now, get the least common multiple of 186, 194 which is 18042

So, the LCM of 186, 194 is 18042.

One method for determining the LCM of 186 and 194 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 186's prime factorization:

Prime factors of 186 are 2, 3,31.

186 = 2¹×3¹×31¹

And this is 194's prime factorization:

Prime factors of 194 are 2,97.

194 = 2¹×97¹

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, 3,31,97

2¹×3¹×31¹×97¹ = 18042

This shows that the LCM of 186 and 194 is 18042.

The first step in determining the Least Common Multiple of 186 and 194 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 186 and 194:

Lets look at the first ten multiples of these numbers, 186 and 194:

186,372,558,744,930,1116,1302,1488,1674,3162 are the first ten multiples of 186.

194,388,582,776,970,1164,1358,1552,1746,3298 are the first ten multiples of 194.

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 186 and 194, for example, are 2232, 3162, and 3104. 18042 is the least common multiple since it is the smallest.

186 and 194 have an LCM of 18042.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 186 and 194, than apply into the LCM equation.

GCF(186,194) = 2
LCM(186,194) = ( 186 × 194) / 2
LCM(186,194) = 36084 / 2
LCM(186,194) = 18042

1. What is the LCM of 186 and 194?

The LCM of 186 and 194 is 18042.

2. How to find the lowest common multiple of 186 and 194?

To find the lowest common multiple of 186 and 194, we have to get the multip;es of both numbers and identify the least common multiple in them which is 18042.

3. What are the Factors of 186?

Answer: Factors of 186 are 1, 2, 3, 6, 31, 62, 93, 186. There are 8 integers that are factors of 186. The greatest factor of 186 is 186.

4. What are the Factors of 194?

Answer: Factors of 194 are 1, 2, 97, 194. There are 4 integers that are factors of 194. The greatest factor of 194 is 194.

Answer:

Least Common Multiple of 186 and 194 = 18042

Step 1: Find the prime factorization of 186

186 = 2 x 3 x 31

Step 2: Find the prime factorization of 194

194 = 2 x 97

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

LCM = 18042 = 2 x 3 x 31 x 97

Step 4: Therefore, the least common multiple of 186 and 194 is 18042.