Least Common Multiple of 73 and 81
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 73 and 81 the smallest integer that is 5913 that is divisible by both numbers.
Least Common Multiple (LCM) of 73 and 81 is 5913.
LCM(73,81) = 5913
LCM of 73 and 81
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 73 and 81 by Prime method
- Least Common Multiple of 73 and 81 with GCF Formula
LCM of 73 and 81 is 5913
Least common multiple can be found by multiplying the highest exponent prime factors of 73 and 81. First we will calculate the prime factors of 73 and 81.
Prime Factorization of 73
| 73 | 73 |
| 1 |
Prime factors of 73 are 73. Prime factorization of 73 in exponential form is:
73 = 731
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
Now multiplying the highest exponent prime factors to calculate the LCM of 73 and 81.
LCM(73,81) = 34×731
LCM(73,81) = 5913
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1, 73
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Least Common Multiple of 73 and 81 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73 and 81, than apply into the LCM equation.
GCF(73,81) = 1
LCM(73,81) = ( 73 × 81) / 1
LCM(73,81) = 5913 / 1
LCM(73,81) = 5913
Properties of LCM 73 and 81
(i) The LCM of 81 and 73 is associative
LCM of 73 and 81 = LCM of 81 and 73
Related Least Common Multiples of 73
Related Least Common Multiples of 81
Frequently Asked Questions on LCM of 73 and 81
1. What is the LCM of 73 and 81?
Answer: LCM of 73 and 81 is 5913.
2. What are the Factors of 73?
Answer: Factors of 73 are 1, 73. There are 2 integers that are factors of 73. The greatest factor of 73 is 73.
3. 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.
4. How to Find the LCM of 73 and 81?
Answer:
Least Common Multiple of 73 and 81 = 5913
Step 1: Find the prime factorization of 73
73 = 73
Step 2: Find the prime factorization of 81
81 = 3 x 3 x 3 x 3
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5913 = 3 x 3 x 3 x 3 x 73
Step 4: Therefore, the least common multiple of 73 and 81 is 5913.
