Least Common Multiple (LCM) of 122 and 81
The least common multiple (LCM) of 122 and 81 is 9882.
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 122 and 81?
First, calculate the GCD of 122 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 81 = 1 remainder 41 |
| 2 | 81 ÷ 41 = 1 remainder 40 |
| 3 | 41 ÷ 40 = 1 remainder 1 |
| 4 | 40 ÷ 1 = 40 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 147 | 15288 |
| 56 and 10 | 280 |
| 49 and 49 | 49 |
| 31 and 29 | 899 |
| 194 and 195 | 37830 |