Least Common Multiple of 82 and 88
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 82 and 88 the smallest integer that is 3608 that is divisible by both numbers.
Least Common Multiple (LCM) of 82 and 88 is 3608.
LCM(82,88) = 3608
LCM of 82 and 88
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 82 and 88 by Prime method
- Least Common Multiple of 82 and 88 with GCF Formula
LCM of 82 and 88 is 3608
Least common multiple can be found by multiplying the highest exponent prime factors of 82 and 88. First we will calculate the prime factors of 82 and 88.
Prime Factorization of 82
| 2 | 82 |
| 41 | 41 |
| 1 |
Prime factors of 82 are 2,41. Prime factorization of 82 in exponential form is:
82 = 21×411
Prime Factorization of 88
| 2 | 88 |
| 2 | 44 |
| 2 | 22 |
| 11 | 11 |
| 1 |
Prime factors of 88 are 2,11. Prime factorization of 88 in exponential form is:
88 = 23×111
Now multiplying the highest exponent prime factors to calculate the LCM of 82 and 88.
LCM(82,88) = 23×111×411
LCM(82,88) = 3608
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88
Least Common Multiple of 82 and 88 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82 and 88, than apply into the LCM equation.
GCF(82,88) = 2
LCM(82,88) = ( 82 × 88) / 2
LCM(82,88) = 7216 / 2
LCM(82,88) = 3608
Properties of LCM 82 and 88
(i) The LCM of 88 and 82 is associative
LCM of 82 and 88 = LCM of 88 and 82
Related Least Common Multiples of 82
Related Least Common Multiples of 88
Frequently Asked Questions on LCM of 82 and 88
1. What is the LCM of 82 and 88?
Answer: LCM of 82 and 88 is 3608.
2. What are the Factors of 82?
Answer: Factors of 82 are 1, 2, 41, 82. There are 4 integers that are factors of 82. The greatest factor of 82 is 82.
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. How to Find the LCM of 82 and 88?
Answer:
Least Common Multiple of 82 and 88 = 3608
Step 1: Find the prime factorization of 82
82 = 2 x 41
Step 2: Find the prime factorization of 88
88 = 2 x 2 x 2 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3608 = 2 x 2 x 2 x 11 x 41
Step 4: Therefore, the least common multiple of 82 and 88 is 3608.
