LCM of 155 and 159
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 155 and 159 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 24645 as output. Here you can check the answer for Find the LCM of 155 and 159.
What is LCM of 155 and 159
Given Numbers are 155, 159
We can find the LCM of 155, 159 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 155 and 159
Multiples of 155 =155,310,465,620,775,930,1085,1240,1395,1550,1705,1860,2015,2170,2325,2480,2635,
Multiples of 159 =159,318,477,636,795,954,1113,1272,1431,1590,1749,1908,2067,2226,2385,2544,2703,
Now, get the least common multiple of 155, 159 which is 24645
So, the LCM of 155, 159 is 24645.
Least Common Multiple (LCM) of 155 and 159 with the help of Prime Factorisation
One method for determining the LCM of 155 and 159 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 159's prime factorization:
| 3 | 159 |
| 53 | 53 |
| 1 |
Prime factors of 159 are 3,53.
159 = 31×531
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, 3,53
.31×51×311×531 = 24645
This shows that the LCM of 155 and 159 is 24645.
How to Calculate the LCM of 155 and 159 Using Common Multiples
The first step in determining the Least Common Multiple of 155 and 159 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 155 and 159:
Lets look at the first ten multiples of these numbers, 155 and 159:
155,310,465,620,775,930,1085,1240,1395,2635 are the first ten multiples of 155.
159,318,477,636,795,954,1113,1272,1431,2703 are the first ten multiples of 159.
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 159, for example, are 1860, 2635, and 2544. 24645 is the least common multiple since it is the smallest.
155 and 159 have an LCM of 24645.
Least Common Multiple of 155 and 159 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 159, than apply into the LCM equation.
GCF(155,159) = 1
LCM(155,159) = ( 155 × 159) / 1
LCM(155,159) = 24645 / 1
LCM(155,159) = 24645
Related Least Common Multiples of 155
Related Least Common Multiples of 159
Frequently Asked Questions on LCM of 155 and 159
1. What is the LCM of 155 and 159?
The LCM of 155 and 159 is 24645.
2. How to find the lowest common multiple of 155 and 159?
To find the lowest common multiple of 155 and 159, we have to get the multip;es of both numbers and identify the least common multiple in them which is 24645.
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 159?
Answer: Factors of 159 are 1, 3, 53, 159. There are 4 integers that are factors of 159. The greatest factor of 159 is 159.
5. How to Find the LCM of 155 and 159?Answer:
Least Common Multiple of 155 and 159 = 24645
Step 1: Find the prime factorization of 155
155 = 5 x 31
Step 2: Find the prime factorization of 159
159 = 3 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 24645 = 3 x 5 x 31 x 53
Step 4: Therefore, the least common multiple of 155 and 159 is 24645.