Least Common Multiple of 81 and 86
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 81 and 86 the smallest integer that is 6966 that is divisible by both numbers.
Least Common Multiple (LCM) of 81 and 86 is 6966.
LCM(81,86) = 6966
LCM of 81 and 86
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 81 and 86 by Prime method
- Least Common Multiple of 81 and 86 with GCF Formula
LCM of 81 and 86 is 6966
Least common multiple can be found by multiplying the highest exponent prime factors of 81 and 86. First we will calculate the prime factors of 81 and 86.
Prime Factorization of 81
| 3 | 81 |
| 3 | 27 |
| 3 | 9 |
| 3 | 3 |
| 1 |
Prime factors of 81 are 3. Prime factorization of 81 in exponential form is:
81 = 34
Prime Factorization of 86
| 2 | 86 |
| 43 | 43 |
| 1 |
Prime factors of 86 are 2,43. Prime factorization of 86 in exponential form is:
86 = 21×431
Now multiplying the highest exponent prime factors to calculate the LCM of 81 and 86.
LCM(81,86) = 21×34×431
LCM(81,86) = 6966
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Least Common Multiple of 81 and 86 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81 and 86, than apply into the LCM equation.
GCF(81,86) = 1
LCM(81,86) = ( 81 × 86) / 1
LCM(81,86) = 6966 / 1
LCM(81,86) = 6966
Properties of LCM 81 and 86
(i) The LCM of 86 and 81 is associative
LCM of 81 and 86 = LCM of 86 and 81
Related Least Common Multiples of 81
Related Least Common Multiples of 86
Frequently Asked Questions on LCM of 81 and 86
1. What is the LCM of 81 and 86?
Answer: LCM of 81 and 86 is 6966.
2. 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.
3. What are the Factors of 86?
Answer: Factors of 86 are 1, 2, 43, 86. There are 4 integers that are factors of 86. The greatest factor of 86 is 86.
4. How to Find the LCM of 81 and 86?
Answer:
Least Common Multiple of 81 and 86 = 6966
Step 1: Find the prime factorization of 81
81 = 3 x 3 x 3 x 3
Step 2: Find the prime factorization of 86
86 = 2 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6966 = 2 x 3 x 3 x 3 x 3 x 43
Step 4: Therefore, the least common multiple of 81 and 86 is 6966.