Given Numbers are 177, 182

We can find the LCM of 177, 182 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 177 and 182

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

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 177, 182 which is 32214

So, the LCM of 177, 182 is 32214.

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

Prime factors of 177 are 3,59.

177 = 3¹×59¹

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: 3,59, 2, 7,13

2¹×3¹×7¹×13¹×59¹ = 32214

This shows that the LCM of 177 and 182 is 32214.

The first step in determining the Least Common Multiple of 177 and 182 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 177 and 182:

Lets look at the first ten multiples of these numbers, 177 and 182:

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

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 177 and 182, for example, are 2124, 3009, and 2912. 32214 is the least common multiple since it is the smallest.

177 and 182 have an LCM of 32214.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 177 and 182, than apply into the LCM equation.

GCF(177,182) = 1
LCM(177,182) = ( 177 × 182) / 1
LCM(177,182) = 32214 / 1
LCM(177,182) = 32214

1. What is the LCM of 177 and 182?

The LCM of 177 and 182 is 32214.

2. How to find the lowest common multiple of 177 and 182?

To find the lowest common multiple of 177 and 182, we have to get the multip;es of both numbers and identify the least common multiple in them which is 32214.

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 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 177 and 182 = 32214

Step 1: Find the prime factorization of 177

177 = 3 x 59

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 = 32214 = 2 x 3 x 7 x 13 x 59

Step 4: Therefore, the least common multiple of 177 and 182 is 32214.