Least Common Multiple (LCM) of 122 and 171
The least common multiple (LCM) of 122 and 171 is 20862.
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 171?
First, calculate the GCD of 122 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 171 = 0 remainder 122 |
| 2 | 171 ÷ 122 = 1 remainder 49 |
| 3 | 122 ÷ 49 = 2 remainder 24 |
| 4 | 49 ÷ 24 = 2 remainder 1 |
| 5 | 24 ÷ 1 = 24 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 37 | 3774 |
| 50 and 60 | 300 |
| 13 and 115 | 1495 |
| 96 and 76 | 1824 |
| 20 and 146 | 1460 |