Least Common Multiple (LCM) of 171 and 122
The least common multiple (LCM) of 171 and 122 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 171 and 122?
First, calculate the GCD of 171 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 122 = 1 remainder 49 |
| 2 | 122 ÷ 49 = 2 remainder 24 |
| 3 | 49 ÷ 24 = 2 remainder 1 |
| 4 | 24 ÷ 1 = 24 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 148 and 47 | 6956 |
| 17 and 48 | 816 |
| 17 and 17 | 17 |
| 145 and 86 | 12470 |
| 181 and 10 | 1810 |