Given Numbers are 178, 182

We can find the LCM of 178, 182 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 178 and 182

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

Multiples of 182 =182,364,546,728,910,1092,1274,1456,1638,1820,2002,2184,2366,2548,2730,2912,3094,

Now, get the least common multiple of 178, 182 which is 16198

So, the LCM of 178, 182 is 16198.

One method for determining the LCM of 178 and 182 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 182's prime factorization:

Prime factors of 182 are 2, 7,13.

182 = 2¹×7¹×13¹

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, 7,13

2¹×7¹×13¹×89¹ = 16198

This shows that the LCM of 178 and 182 is 16198.

The first step in determining the Least Common Multiple of 178 and 182 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 178 and 182:

Lets look at the first ten multiples of these numbers, 178 and 182:

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

182,364,546,728,910,1092,1274,1456,1638,3094 are the first ten multiples of 182.

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 182, for example, are 2136, 3026, and 2912. 16198 is the least common multiple since it is the smallest.

178 and 182 have an LCM of 16198.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 178 and 182, than apply into the LCM equation.

GCF(178,182) = 2
LCM(178,182) = ( 178 × 182) / 2
LCM(178,182) = 32396 / 2
LCM(178,182) = 16198

1. What is the LCM of 178 and 182?

The LCM of 178 and 182 is 16198.

2. How to find the lowest common multiple of 178 and 182?

To find the lowest common multiple of 178 and 182, we have to get the multip;es of both numbers and identify the least common multiple in them which is 16198.

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 182?

Answer: Factors of 182 are 1, 2, 7, 13, 14, 26, 91, 182. There are 8 integers that are factors of 182. The greatest factor of 182 is 182.

Answer:

Least Common Multiple of 178 and 182 = 16198

Step 1: Find the prime factorization of 178

178 = 2 x 89

Step 2: Find the prime factorization of 182

182 = 2 x 7 x 13

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

LCM = 16198 = 2 x 7 x 13 x 89

Step 4: Therefore, the least common multiple of 178 and 182 is 16198.