LCM of 154 and 162
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 154 and 162 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 12474 as output. Here you can check the answer for Find the LCM of 154 and 162.
What is LCM of 154 and 162
Given Numbers are 154, 162
We can find the LCM of 154, 162 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 154 and 162
Multiples of 154 =154,308,462,616,770,924,1078,1232,1386,1540,1694,1848,2002,2156,2310,2464,2618,
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 154, 162 which is 12474
So, the LCM of 154, 162 is 12474.
Least Common Multiple (LCM) of 154 and 162 with the help of Prime Factorisation
One method for determining the LCM of 154 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 154's prime factorization:
| 2 | 154 |
| 7 | 77 |
| 11 | 11 |
| 1 |
Prime factors of 154 are 2, 7,11.
154 = 21×71×111
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, 7,11,3
.21×34×71×111 = 12474
This shows that the LCM of 154 and 162 is 12474.
How to Calculate the LCM of 154 and 162 Using Common Multiples
The first step in determining the Least Common Multiple of 154 and 162 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 154 and 162:
Lets look at the first ten multiples of these numbers, 154 and 162:
154,308,462,616,770,924,1078,1232,1386,2618 are the first ten multiples of 154.
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 154 and 162, for example, are 1848, 2618, and 2592. 12474 is the least common multiple since it is the smallest.
154 and 162 have an LCM of 12474.
Least Common Multiple of 154 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 154 and 162, than apply into the LCM equation.
GCF(154,162) = 2
LCM(154,162) = ( 154 × 162) / 2
LCM(154,162) = 24948 / 2
LCM(154,162) = 12474
Related Least Common Multiples of 154
Related Least Common Multiples of 162
Frequently Asked Questions on LCM of 154 and 162
1. What is the LCM of 154 and 162?
The LCM of 154 and 162 is 12474.
2. How to find the lowest common multiple of 154 and 162?
To find the lowest common multiple of 154 and 162, we have to get the multip;es of both numbers and identify the least common multiple in them which is 12474.
3. What are the Factors of 154?
Answer: Factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154. There are 8 integers that are factors of 154. The greatest factor of 154 is 154.
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 154 and 162?Answer:
Least Common Multiple of 154 and 162 = 12474
Step 1: Find the prime factorization of 154
154 = 2 x 7 x 11
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 = 12474 = 2 x 3 x 3 x 3 x 3 x 7 x 11
Step 4: Therefore, the least common multiple of 154 and 162 is 12474.