Given Numbers are 166, 170

We can find the LCM of 166, 170 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 166 and 170

Multiples of 166 =166,332,498,664,830,996,1162,1328,1494,1660,1826,1992,2158,2324,2490,2656,2822,

Multiples of 170 =170,340,510,680,850,1020,1190,1360,1530,1700,1870,2040,2210,2380,2550,2720,2890,

Now, get the least common multiple of 166, 170 which is 14110

So, the LCM of 166, 170 is 14110.

One method for determining the LCM of 166 and 170 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 166's prime factorization:

Prime factors of 166 are 2,83.

166 = 2¹×83¹

And this is 170's prime factorization:

Prime factors of 170 are 2, 5,17.

170 = 2¹×5¹×17¹

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: 2,83, 5,17

2¹×5¹×17¹×83¹ = 14110

This shows that the LCM of 166 and 170 is 14110.

The first step in determining the Least Common Multiple of 166 and 170 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 166 and 170:

Lets look at the first ten multiples of these numbers, 166 and 170:

166,332,498,664,830,996,1162,1328,1494,2822 are the first ten multiples of 166.

170,340,510,680,850,1020,1190,1360,1530,2890 are the first ten multiples of 170.

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 166 and 170, for example, are 1992, 2822, and 2720. 14110 is the least common multiple since it is the smallest.

166 and 170 have an LCM of 14110.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 166 and 170, than apply into the LCM equation.

GCF(166,170) = 2
LCM(166,170) = ( 166 × 170) / 2
LCM(166,170) = 28220 / 2
LCM(166,170) = 14110

1. What is the LCM of 166 and 170?

The LCM of 166 and 170 is 14110.

2. How to find the lowest common multiple of 166 and 170?

To find the lowest common multiple of 166 and 170, we have to get the multip;es of both numbers and identify the least common multiple in them which is 14110.

3. What are the Factors of 166?

Answer: Factors of 166 are 1, 2, 83, 166. There are 4 integers that are factors of 166. The greatest factor of 166 is 166.

4. What are the Factors of 170?

Answer: Factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170. There are 8 integers that are factors of 170. The greatest factor of 170 is 170.

Answer:

Least Common Multiple of 166 and 170 = 14110

Step 1: Find the prime factorization of 166

166 = 2 x 83

Step 2: Find the prime factorization of 170

170 = 2 x 5 x 17

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

LCM = 14110 = 2 x 5 x 17 x 83

Step 4: Therefore, the least common multiple of 166 and 170 is 14110.