LCM of 74 and 81
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 74 and 81 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 5994 as output. Here you can check the answer for Find the LCM of 74 and 81.
What is LCM of 74 and 81
Given Numbers are 74, 81
We can find the LCM of 74, 81 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 74 and 81
Multiples of 74 =74,148,222,296,370,444,518,592,666,740,814,888,962,1036,1110,1184,1258,
Multiples of 81 =81,162,243,324,405,486,567,648,729,810,891,972,1053,1134,1215,1296,1377,
Now, get the least common multiple of 74, 81 which is 5994
So, the LCM of 74, 81 is 5994.
Least Common Multiple (LCM) of 74 and 81 with the help of Prime Factorisation
One method for determining the LCM of 74 and 81 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 74's prime factorization:
| 2 | 74 |
| 37 | 37 |
| 1 |
Prime factors of 74 are 2,37.
74 = 21×371
And this is 81's prime factorization:
| 3 | 81 |
| 3 | 27 |
| 3 | 9 |
| 3 | 3 |
| 1 |
Prime factors of 81 are 3.
81 = 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: 2,37,3
.21×34×371 = 5994
This shows that the LCM of 74 and 81 is 5994.
How to Calculate the LCM of 74 and 81 Using Common Multiples
The first step in determining the Least Common Multiple of 74 and 81 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 74 and 81:
Lets look at the first ten multiples of these numbers, 74 and 81:
74,148,222,296,370,444,518,592,666,1258 are the first ten multiples of 74.
81,162,243,324,405,486,567,648,729,1377 are the first ten multiples of 81.
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 74 and 81, for example, are 888, 1258, and 1296. 5994 is the least common multiple since it is the smallest.
74 and 81 have an LCM of 5994.
Least Common Multiple of 74 and 81 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74 and 81, than apply into the LCM equation.
GCF(74,81) = 1
LCM(74,81) = ( 74 × 81) / 1
LCM(74,81) = 5994 / 1
LCM(74,81) = 5994
Related Least Common Multiples of 74
Related Least Common Multiples of 81
Frequently Asked Questions on LCM of 74 and 81
1. What is the LCM of 74 and 81?
The LCM of 74 and 81 is 5994.
2. How to find the lowest common multiple of 74 and 81?
To find the lowest common multiple of 74 and 81, we have to get the multip;es of both numbers and identify the least common multiple in them which is 5994.
3. What are the Factors of 74?
Answer: Factors of 74 are 1, 2, 37, 74. There are 4 integers that are factors of 74. The greatest factor of 74 is 74.
4. What are the Factors of 81?
Answer: Factors of 81 are 1, 3, 9, 27, 81. There are 5 integers that are factors of 81. The greatest factor of 81 is 81.
5. How to Find the LCM of 74 and 81?Answer:
Least Common Multiple of 74 and 81 = 5994
Step 1: Find the prime factorization of 74
74 = 2 x 37
Step 2: Find the prime factorization of 81
81 = 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 = 5994 = 2 x 3 x 3 x 3 x 3 x 37
Step 4: Therefore, the least common multiple of 74 and 81 is 5994.