Least Common Multiple (LCM) of 193 and 161
The least common multiple (LCM) of 193 and 161 is 31073.
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 193 and 161?
First, calculate the GCD of 193 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 161 = 1 remainder 32 |
| 2 | 161 ÷ 32 = 5 remainder 1 |
| 3 | 32 ÷ 1 = 32 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 50 and 173 | 8650 |
| 182 and 90 | 8190 |
| 114 and 103 | 11742 |
| 131 and 47 | 6157 |
| 107 and 194 | 20758 |