LCM of 71 and 78
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 71 and 78 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 5538 as output. Here you can check the answer for Find the LCM of 71 and 78.
What is LCM of 71 and 78
Given Numbers are 71, 78
We can find the LCM of 71, 78 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 71 and 78
Multiples of 71 =71,142,213,284,355,426,497,568,639,710,781,852,923,994,1065,1136,1207,
Multiples of 78 =78,156,234,312,390,468,546,624,702,780,858,936,1014,1092,1170,1248,1326,
Now, get the least common multiple of 71, 78 which is 5538
So, the LCM of 71, 78 is 5538.
Least Common Multiple (LCM) of 71 and 78 with the help of Prime Factorisation
One method for determining the LCM of 71 and 78 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 71's prime factorization:
| 71 | 71 |
| 1 |
Prime factors of 71 are 71.
71 = 711
And this is 78's prime factorization:
| 2 | 78 |
| 3 | 39 |
| 13 | 13 |
| 1 |
Prime factors of 78 are 2, 3,13.
78 = 21×31×131
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:71, 2, 3,13
.21×31×131×711 = 5538
This shows that the LCM of 71 and 78 is 5538.
How to Calculate the LCM of 71 and 78 Using Common Multiples
The first step in determining the Least Common Multiple of 71 and 78 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 71 and 78:
Lets look at the first ten multiples of these numbers, 71 and 78:
71,142,213,284,355,426,497,568,639,1207 are the first ten multiples of 71.
78,156,234,312,390,468,546,624,702,1326 are the first ten multiples of 78.
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 71 and 78, for example, are 852, 1207, and 1248. 5538 is the least common multiple since it is the smallest.
71 and 78 have an LCM of 5538.
Least Common Multiple of 71 and 78 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71 and 78, than apply into the LCM equation.
GCF(71,78) = 1
LCM(71,78) = ( 71 × 78) / 1
LCM(71,78) = 5538 / 1
LCM(71,78) = 5538
Related Least Common Multiples of 71
Related Least Common Multiples of 78
Frequently Asked Questions on LCM of 71 and 78
1. What is the LCM of 71 and 78?
The LCM of 71 and 78 is 5538.
2. How to find the lowest common multiple of 71 and 78?
To find the lowest common multiple of 71 and 78, we have to get the multip;es of both numbers and identify the least common multiple in them which is 5538.
3. What are the Factors of 71?
Answer: Factors of 71 are 1, 71. There are 2 integers that are factors of 71. The greatest factor of 71 is 71.
4. What are the Factors of 78?
Answer: Factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78. There are 8 integers that are factors of 78. The greatest factor of 78 is 78.
5. How to Find the LCM of 71 and 78?Answer:
Least Common Multiple of 71 and 78 = 5538
Step 1: Find the prime factorization of 71
71 = 71
Step 2: Find the prime factorization of 78
78 = 2 x 3 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5538 = 2 x 3 x 13 x 71
Step 4: Therefore, the least common multiple of 71 and 78 is 5538.