LCM of 38 and 43
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 38 and 43 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 1634 as output. Here you can check the answer for Find the LCM of 38 and 43.
What is LCM of 38 and 43
Given Numbers are 38, 43
We can find the LCM of 38, 43 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 38 and 43
Multiples of 38 =38,76,114,152,190,228,266,304,342,380,418,456,494,532,570,608,646,
Multiples of 43 =43,86,129,172,215,258,301,344,387,430,473,516,559,602,645,688,731,
Now, get the least common multiple of 38, 43 which is 1634
So, the LCM of 38, 43 is 1634.
Least Common Multiple (LCM) of 38 and 43 with the help of Prime Factorisation
One method for determining the LCM of 38 and 43 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 38's prime factorization:
| 2 | 38 |
| 19 | 19 |
| 1 |
Prime factors of 38 are 2,19.
38 = 21×191
And this is 43's prime factorization:
| 43 | 43 |
| 1 |
Prime factors of 43 are 43.
43 = 431
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: 2,19,43
.21×191×431 = 1634
This shows that the LCM of 38 and 43 is 1634.
How to Calculate the LCM of 38 and 43 Using Common Multiples
The first step in determining the Least Common Multiple of 38 and 43 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 38 and 43:
Lets look at the first ten multiples of these numbers, 38 and 43:
38,76,114,152,190,228,266,304,342,646 are the first ten multiples of 38.
43,86,129,172,215,258,301,344,387,731 are the first ten multiples of 43.
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 38 and 43, for example, are 456, 646, and 688. 1634 is the least common multiple since it is the smallest.
38 and 43 have an LCM of 1634.
Least Common Multiple of 38 and 43 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38 and 43, than apply into the LCM equation.
GCF(38,43) = 1
LCM(38,43) = ( 38 × 43) / 1
LCM(38,43) = 1634 / 1
LCM(38,43) = 1634
Related Least Common Multiples of 38
Related Least Common Multiples of 43
Frequently Asked Questions on LCM of 38 and 43
1. What is the LCM of 38 and 43?
The LCM of 38 and 43 is 1634.
2. How to find the lowest common multiple of 38 and 43?
To find the lowest common multiple of 38 and 43, we have to get the multip;es of both numbers and identify the least common multiple in them which is 1634.
3. What are the Factors of 38?
Answer: Factors of 38 are 1, 2, 19, 38. There are 4 integers that are factors of 38. The greatest factor of 38 is 38.
4. What are the Factors of 43?
Answer: Factors of 43 are 1, 43. There are 2 integers that are factors of 43. The greatest factor of 43 is 43.
5. How to Find the LCM of 38 and 43?Answer:
Least Common Multiple of 38 and 43 = 1634
Step 1: Find the prime factorization of 38
38 = 2 x 19
Step 2: Find the prime factorization of 43
43 = 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1634 = 2 x 19 x 43
Step 4: Therefore, the least common multiple of 38 and 43 is 1634.