LCM of 88 and 94
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 88 and 94 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 4136 as output. Here you can check the answer for Find the LCM of 88 and 94.
What is LCM of 88 and 94
Given Numbers are 88, 94
We can find the LCM of 88, 94 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 88 and 94
Multiples of 88 =88,176,264,352,440,528,616,704,792,880,968,1056,1144,1232,1320,1408,1496,
Multiples of 94 =94,188,282,376,470,564,658,752,846,940,1034,1128,1222,1316,1410,1504,1598,
Now, get the least common multiple of 88, 94 which is 4136
So, the LCM of 88, 94 is 4136.
Least Common Multiple (LCM) of 88 and 94 with the help of Prime Factorisation
One method for determining the LCM of 88 and 94 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 88's prime factorization:
| 2 | 88 |
| 2 | 44 |
| 2 | 22 |
| 11 | 11 |
| 1 |
Prime factors of 88 are 2,11.
88 = 23×111
And this is 94's prime factorization:
| 2 | 94 |
| 47 | 47 |
| 1 |
Prime factors of 94 are 2,47.
94 = 21×471
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: 2,11,47
.23×111×471 = 4136
This shows that the LCM of 88 and 94 is 4136.
How to Calculate the LCM of 88 and 94 Using Common Multiples
The first step in determining the Least Common Multiple of 88 and 94 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 88 and 94:
Lets look at the first ten multiples of these numbers, 88 and 94:
88,176,264,352,440,528,616,704,792,1496 are the first ten multiples of 88.
94,188,282,376,470,564,658,752,846,1598 are the first ten multiples of 94.
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 88 and 94, for example, are 1056, 1496, and 1504. 4136 is the least common multiple since it is the smallest.
88 and 94 have an LCM of 4136.
Least Common Multiple of 88 and 94 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88 and 94, than apply into the LCM equation.
GCF(88,94) = 2
LCM(88,94) = ( 88 × 94) / 2
LCM(88,94) = 8272 / 2
LCM(88,94) = 4136
Related Least Common Multiples of 88
Related Least Common Multiples of 94
Frequently Asked Questions on LCM of 88 and 94
1. What is the LCM of 88 and 94?
The LCM of 88 and 94 is 4136.
2. How to find the lowest common multiple of 88 and 94?
To find the lowest common multiple of 88 and 94, we have to get the multip;es of both numbers and identify the least common multiple in them which is 4136.
3. What are the Factors of 88?
Answer: Factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88. There are 8 integers that are factors of 88. The greatest factor of 88 is 88.
4. What are the Factors of 94?
Answer: Factors of 94 are 1, 2, 47, 94. There are 4 integers that are factors of 94. The greatest factor of 94 is 94.
5. How to Find the LCM of 88 and 94?Answer:
Least Common Multiple of 88 and 94 = 4136
Step 1: Find the prime factorization of 88
88 = 2 x 2 x 2 x 11
Step 2: Find the prime factorization of 94
94 = 2 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4136 = 2 x 2 x 2 x 11 x 47
Step 4: Therefore, the least common multiple of 88 and 94 is 4136.