Least Common Multiple (LCM) of 195 and 122
The least common multiple (LCM) of 195 and 122 is 23790.
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 195 and 122?
First, calculate the GCD of 195 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 122 = 1 remainder 73 |
| 2 | 122 ÷ 73 = 1 remainder 49 |
| 3 | 73 ÷ 49 = 1 remainder 24 |
| 4 | 49 ÷ 24 = 2 remainder 1 |
| 5 | 24 ÷ 1 = 24 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 71 and 176 | 12496 |
| 142 and 147 | 20874 |
| 177 and 40 | 7080 |
| 71 and 55 | 3905 |
| 63 and 58 | 3654 |