Given Numbers are 162, 167

We can find the LCM of 162, 167 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 162 and 167

Multiples of 162 =162,324,486,648,810,972,1134,1296,1458,1620,1782,1944,2106,2268,2430,2592,2754,

Multiples of 167 =167,334,501,668,835,1002,1169,1336,1503,1670,1837,2004,2171,2338,2505,2672,2839,

Now, get the least common multiple of 162, 167 which is 27054

So, the LCM of 162, 167 is 27054.

One method for determining the LCM of 162 and 167 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 162's prime factorization:

Prime factors of 162 are 2,3.

162 = 2¹×3⁴

And this is 167's prime factorization:

Prime factors of 167 are 167.

167 = 167¹

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: 2,3,167

2¹×3⁴×167¹ = 27054

This shows that the LCM of 162 and 167 is 27054.

The first step in determining the Least Common Multiple of 162 and 167 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 162 and 167:

Lets look at the first ten multiples of these numbers, 162 and 167:

162,324,486,648,810,972,1134,1296,1458,2754 are the first ten multiples of 162.

167,334,501,668,835,1002,1169,1336,1503,2839 are the first ten multiples of 167.

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 162 and 167, for example, are 1944, 2754, and 2672. 27054 is the least common multiple since it is the smallest.

162 and 167 have an LCM of 27054.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 162 and 167, than apply into the LCM equation.

GCF(162,167) = 1
LCM(162,167) = ( 162 × 167) / 1
LCM(162,167) = 27054 / 1
LCM(162,167) = 27054

1. What is the LCM of 162 and 167?

The LCM of 162 and 167 is 27054.

2. How to find the lowest common multiple of 162 and 167?

To find the lowest common multiple of 162 and 167, we have to get the multip;es of both numbers and identify the least common multiple in them which is 27054.

3. What are the Factors of 162?

Answer: Factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162. There are 10 integers that are factors of 162. The greatest factor of 162 is 162.

4. What are the Factors of 167?

Answer: Factors of 167 are 1, 167. There are 2 integers that are factors of 167. The greatest factor of 167 is 167.

Answer:

Least Common Multiple of 162 and 167 = 27054

Step 1: Find the prime factorization of 162

162 = 2 x 3 x 3 x 3 x 3

Step 2: Find the prime factorization of 167

167 = 167

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

LCM = 27054 = 2 x 3 x 3 x 3 x 3 x 167

Step 4: Therefore, the least common multiple of 162 and 167 is 27054.