LCM of 155 and 162
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 155 and 162 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 25110 as output. Here you can check the answer for Find the LCM of 155 and 162.
What is LCM of 155 and 162
Given Numbers are 155, 162
We can find the LCM of 155, 162 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 155 and 162
Multiples of 155 =155,310,465,620,775,930,1085,1240,1395,1550,1705,1860,2015,2170,2325,2480,2635,
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 155, 162 which is 25110
So, the LCM of 155, 162 is 25110.
Least Common Multiple (LCM) of 155 and 162 with the help of Prime Factorisation
One method for determining the LCM of 155 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 155's prime factorization:
| 5 | 155 |
| 31 | 31 |
| 1 |
Prime factors of 155 are 5,31.
155 = 51×311
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: 5,31, 2,3
.21×34×51×311 = 25110
This shows that the LCM of 155 and 162 is 25110.
How to Calculate the LCM of 155 and 162 Using Common Multiples
The first step in determining the Least Common Multiple of 155 and 162 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 155 and 162:
Lets look at the first ten multiples of these numbers, 155 and 162:
155,310,465,620,775,930,1085,1240,1395,2635 are the first ten multiples of 155.
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 155 and 162, for example, are 1860, 2635, and 2592. 25110 is the least common multiple since it is the smallest.
155 and 162 have an LCM of 25110.
Least Common Multiple of 155 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 155 and 162, than apply into the LCM equation.
GCF(155,162) = 1
LCM(155,162) = ( 155 × 162) / 1
LCM(155,162) = 25110 / 1
LCM(155,162) = 25110
Related Least Common Multiples of 155
Related Least Common Multiples of 162
Frequently Asked Questions on LCM of 155 and 162
1. What is the LCM of 155 and 162?
The LCM of 155 and 162 is 25110.
2. How to find the lowest common multiple of 155 and 162?
To find the lowest common multiple of 155 and 162, we have to get the multip;es of both numbers and identify the least common multiple in them which is 25110.
3. What are the Factors of 155?
Answer: Factors of 155 are 1, 5, 31, 155. There are 4 integers that are factors of 155. The greatest factor of 155 is 155.
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 155 and 162?Answer:
Least Common Multiple of 155 and 162 = 25110
Step 1: Find the prime factorization of 155
155 = 5 x 31
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 = 25110 = 2 x 3 x 3 x 3 x 3 x 5 x 31
Step 4: Therefore, the least common multiple of 155 and 162 is 25110.