Least Common Multiple (LCM) of 173 and 81
The least common multiple (LCM) of 173 and 81 is 14013.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 173 and 81?
First, calculate the GCD of 173 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 81 = 2 remainder 11 |
| 2 | 81 ÷ 11 = 7 remainder 4 |
| 3 | 11 ÷ 4 = 2 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 96 and 49 | 4704 |
| 153 and 199 | 30447 |
| 46 and 144 | 3312 |
| 113 and 105 | 11865 |
| 191 and 49 | 9359 |