Least Common Multiple (LCM) of 193 and 177
The least common multiple (LCM) of 193 and 177 is 34161.
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 177?
First, calculate the GCD of 193 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 177 = 1 remainder 16 |
| 2 | 177 ÷ 16 = 11 remainder 1 |
| 3 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 47 | 5264 |
| 151 and 131 | 19781 |
| 80 and 100 | 400 |
| 179 and 67 | 11993 |
| 69 and 189 | 4347 |