Given Numbers are 178, 186

We can find the LCM of 178, 186 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 178 and 186

Multiples of 178 =178,356,534,712,890,1068,1246,1424,1602,1780,1958,2136,2314,2492,2670,2848,3026,

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

Now, get the least common multiple of 178, 186 which is 16554

So, the LCM of 178, 186 is 16554.

One method for determining the LCM of 178 and 186 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 178's prime factorization:

Prime factors of 178 are 2,89.

178 = 2¹×89¹

And this is 186's prime factorization:

Prime factors of 186 are 2, 3,31.

186 = 2¹×3¹×31¹

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: 2,89, 3,31

2¹×3¹×31¹×89¹ = 16554

This shows that the LCM of 178 and 186 is 16554.

The first step in determining the Least Common Multiple of 178 and 186 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 178 and 186:

Lets look at the first ten multiples of these numbers, 178 and 186:

178,356,534,712,890,1068,1246,1424,1602,3026 are the first ten multiples of 178.

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

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 178 and 186, for example, are 2136, 3026, and 2976. 16554 is the least common multiple since it is the smallest.

178 and 186 have an LCM of 16554.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 178 and 186, than apply into the LCM equation.

GCF(178,186) = 2
LCM(178,186) = ( 178 × 186) / 2
LCM(178,186) = 33108 / 2
LCM(178,186) = 16554

1. What is the LCM of 178 and 186?

The LCM of 178 and 186 is 16554.

2. How to find the lowest common multiple of 178 and 186?

To find the lowest common multiple of 178 and 186, we have to get the multip;es of both numbers and identify the least common multiple in them which is 16554.

3. What are the Factors of 178?

Answer: Factors of 178 are 1, 2, 89, 178. There are 4 integers that are factors of 178. The greatest factor of 178 is 178.

4. 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.

Answer:

Least Common Multiple of 178 and 186 = 16554

Step 1: Find the prime factorization of 178

178 = 2 x 89

Step 2: Find the prime factorization of 186

186 = 2 x 3 x 31

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

LCM = 16554 = 2 x 3 x 31 x 89

Step 4: Therefore, the least common multiple of 178 and 186 is 16554.