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 |
|---|---|
| 106 and 108 | 5724 |
| 177 and 159 | 9381 |
| 69 and 198 | 4554 |
| 54 and 52 | 1404 |
| 161 and 77 | 1771 |