LCM of 158 and 162
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 158 and 162 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 12798 as output. Here you can check the answer for Find the LCM of 158 and 162.
What is LCM of 158 and 162
Given Numbers are 158, 162
We can find the LCM of 158, 162 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 158 and 162
Multiples of 158 =158,316,474,632,790,948,1106,1264,1422,1580,1738,1896,2054,2212,2370,2528,2686,
Multiples of 162 =162,324,486,648,810,972,1134,1296,1458,1620,1782,1944,2106,2268,2430,2592,2754,
Now, get the least common multiple of 158, 162 which is 12798
So, the LCM of 158, 162 is 12798.
Least Common Multiple (LCM) of 158 and 162 with the help of Prime Factorisation
One method for determining the LCM of 158 and 162 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 158's prime factorization:
| 2 | 158 |
| 79 | 79 |
| 1 |
Prime factors of 158 are 2,79.
158 = 21×791
And this 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
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: 2,79,3
.21×34×791 = 12798
This shows that the LCM of 158 and 162 is 12798.
How to Calculate the LCM of 158 and 162 Using Common Multiples
The first step in determining the Least Common Multiple of 158 and 162 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 158 and 162:
Lets look at the first ten multiples of these numbers, 158 and 162:
158,316,474,632,790,948,1106,1264,1422,2686 are the first ten multiples of 158.
162,324,486,648,810,972,1134,1296,1458,2754 are the first ten multiples of 162.
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 158 and 162, for example, are 1896, 2686, and 2592. 12798 is the least common multiple since it is the smallest.
158 and 162 have an LCM of 12798.
Least Common Multiple of 158 and 162 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 158 and 162, than apply into the LCM equation.
GCF(158,162) = 2
LCM(158,162) = ( 158 × 162) / 2
LCM(158,162) = 25596 / 2
LCM(158,162) = 12798
Related Least Common Multiples of 158
Related Least Common Multiples of 162
Frequently Asked Questions on LCM of 158 and 162
1. What is the LCM of 158 and 162?
The LCM of 158 and 162 is 12798.
2. How to find the lowest common multiple of 158 and 162?
To find the lowest common multiple of 158 and 162, we have to get the multip;es of both numbers and identify the least common multiple in them which is 12798.
3. What are the Factors of 158?
Answer: Factors of 158 are 1, 2, 79, 158. There are 4 integers that are factors of 158. The greatest factor of 158 is 158.
4. 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.
5. How to Find the LCM of 158 and 162?Answer:
Least Common Multiple of 158 and 162 = 12798
Step 1: Find the prime factorization of 158
158 = 2 x 79
Step 2: Find the prime factorization of 162
162 = 2 x 3 x 3 x 3 x 3
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12798 = 2 x 3 x 3 x 3 x 3 x 79
Step 4: Therefore, the least common multiple of 158 and 162 is 12798.