Least Common Multiple (LCM) of 161 and 193
The least common multiple (LCM) of 161 and 193 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 161 and 193?
First, calculate the GCD of 161 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 193 = 0 remainder 161 |
| 2 | 193 ÷ 161 = 1 remainder 32 |
| 3 | 161 ÷ 32 = 5 remainder 1 |
| 4 | 32 ÷ 1 = 32 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 157 | 5652 |
| 160 and 155 | 4960 |
| 177 and 85 | 15045 |
| 67 and 175 | 11725 |
| 16 and 120 | 240 |