LCM of 162 and 169
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 162 and 169 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 27378 as output. Here you can check the answer for Find the LCM of 162 and 169.
What is LCM of 162 and 169
Given Numbers are 162, 169
We can find the LCM of 162, 169 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 162 and 169
Multiples of 162 =162,324,486,648,810,972,1134,1296,1458,1620,1782,1944,2106,2268,2430,2592,2754,
Multiples of 169 =169,338,507,676,845,1014,1183,1352,1521,1690,1859,2028,2197,2366,2535,2704,2873,
Now, get the least common multiple of 162, 169 which is 27378
So, the LCM of 162, 169 is 27378.
Least Common Multiple (LCM) of 162 and 169 with the help of Prime Factorisation
One method for determining the LCM of 162 and 169 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 169's prime factorization:
| 13 | 169 |
| 13 | 13 |
| 1 |
Prime factors of 169 are 13.
169 = 132
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: 2,3,13
.21×34×132 = 27378
This shows that the LCM of 162 and 169 is 27378.
How to Calculate the LCM of 162 and 169 Using Common Multiples
The first step in determining the Least Common Multiple of 162 and 169 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 162 and 169:
Lets look at the first ten multiples of these numbers, 162 and 169:
162,324,486,648,810,972,1134,1296,1458,2754 are the first ten multiples of 162.
169,338,507,676,845,1014,1183,1352,1521,2873 are the first ten multiples of 169.
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 169, for example, are 1944, 2754, and 2704. 27378 is the least common multiple since it is the smallest.
162 and 169 have an LCM of 27378.
Least Common Multiple of 162 and 169 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 169, than apply into the LCM equation.
GCF(162,169) = 1
LCM(162,169) = ( 162 × 169) / 1
LCM(162,169) = 27378 / 1
LCM(162,169) = 27378
Related Least Common Multiples of 162
Related Least Common Multiples of 169
Frequently Asked Questions on LCM of 162 and 169
1. What is the LCM of 162 and 169?
The LCM of 162 and 169 is 27378.
2. How to find the lowest common multiple of 162 and 169?
To find the lowest common multiple of 162 and 169, we have to get the multip;es of both numbers and identify the least common multiple in them which is 27378.
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 169?
Answer: Factors of 169 are 1, 13, 169. There are 3 integers that are factors of 169. The greatest factor of 169 is 169.
5. How to Find the LCM of 162 and 169?Answer:
Least Common Multiple of 162 and 169 = 27378
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 169
169 = 13 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 = 27378 = 2 x 3 x 3 x 3 x 3 x 13 x 13
Step 4: Therefore, the least common multiple of 162 and 169 is 27378.