LCM of 162 and 166
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 162 and 166 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 13446 as output. Here you can check the answer for Find the LCM of 162 and 166.
What is LCM of 162 and 166
Given Numbers are 162, 166
We can find the LCM of 162, 166 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 162 and 166
Multiples of 162 =162,324,486,648,810,972,1134,1296,1458,1620,1782,1944,2106,2268,2430,2592,2754,
Multiples of 166 =166,332,498,664,830,996,1162,1328,1494,1660,1826,1992,2158,2324,2490,2656,2822,
Now, get the least common multiple of 162, 166 which is 13446
So, the LCM of 162, 166 is 13446.
Least Common Multiple (LCM) of 162 and 166 with the help of Prime Factorisation
One method for determining the LCM of 162 and 166 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:
| 2 | 162 |
| 3 | 81 |
| 3 | 27 |
| 3 | 9 |
| 3 | 3 |
| 1 |
Prime factors of 162 are 2,3.
162 = 21×34
And this is 166's prime factorization:
| 2 | 166 |
| 83 | 83 |
| 1 |
Prime factors of 166 are 2,83.
166 = 21×831
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: 2,3,83
.21×34×831 = 13446
This shows that the LCM of 162 and 166 is 13446.
How to Calculate the LCM of 162 and 166 Using Common Multiples
The first step in determining the Least Common Multiple of 162 and 166 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 162 and 166:
Lets look at the first ten multiples of these numbers, 162 and 166:
162,324,486,648,810,972,1134,1296,1458,2754 are the first ten multiples of 162.
166,332,498,664,830,996,1162,1328,1494,2822 are the first ten multiples of 166.
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 166, for example, are 1944, 2754, and 2656. 13446 is the least common multiple since it is the smallest.
162 and 166 have an LCM of 13446.
Least Common Multiple of 162 and 166 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 162 and 166, than apply into the LCM equation.
GCF(162,166) = 2
LCM(162,166) = ( 162 × 166) / 2
LCM(162,166) = 26892 / 2
LCM(162,166) = 13446
Related Least Common Multiples of 162
Related Least Common Multiples of 166
Frequently Asked Questions on LCM of 162 and 166
1. What is the LCM of 162 and 166?
The LCM of 162 and 166 is 13446.
2. How to find the lowest common multiple of 162 and 166?
To find the lowest common multiple of 162 and 166, we have to get the multip;es of both numbers and identify the least common multiple in them which is 13446.
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 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.
5. How to Find the LCM of 162 and 166?Answer:
Least Common Multiple of 162 and 166 = 13446
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 166
166 = 2 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13446 = 2 x 3 x 3 x 3 x 3 x 83
Step 4: Therefore, the least common multiple of 162 and 166 is 13446.