Least Common Multiple of 81 and 89
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 89 the smallest integer that is 7209 that is divisible by both numbers.
Least Common Multiple (LCM) of 81 and 89 is 7209.
LCM(81,89) = 7209
LCM of 81 and 89
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 81 and 89 by Prime method
- Least Common Multiple of 81 and 89 with GCF Formula
LCM of 81 and 89 is 7209
Least common multiple can be found by multiplying the highest exponent prime factors of 81 and 89. First we will calculate the prime factors of 81 and 89.
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 89
| 89 | 89 |
| 1 |
Prime factors of 89 are 89. Prime factorization of 89 in exponential form is:
89 = 891
Now multiplying the highest exponent prime factors to calculate the LCM of 81 and 89.
LCM(81,89) = 34×891
LCM(81,89) = 7209
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1, 89
Least Common Multiple of 81 and 89 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 89, than apply into the LCM equation.
GCF(81,89) = 1
LCM(81,89) = ( 81 × 89) / 1
LCM(81,89) = 7209 / 1
LCM(81,89) = 7209
Properties of LCM 81 and 89
(i) The LCM of 89 and 81 is associative
LCM of 81 and 89 = LCM of 89 and 81
Related Least Common Multiples of 81
Related Least Common Multiples of 89
Frequently Asked Questions on LCM of 81 and 89
1. What is the LCM of 81 and 89?
Answer: LCM of 81 and 89 is 7209.
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 89?
Answer: Factors of 89 are 1, 89. There are 2 integers that are factors of 89. The greatest factor of 89 is 89.
4. How to Find the LCM of 81 and 89?
Answer:
Least Common Multiple of 81 and 89 = 7209
Step 1: Find the prime factorization of 81
81 = 3 x 3 x 3 x 3
Step 2: Find the prime factorization of 89
89 = 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7209 = 3 x 3 x 3 x 3 x 89
Step 4: Therefore, the least common multiple of 81 and 89 is 7209.
