Least Common Multiple (LCM) of 187 and 193
The least common multiple (LCM) of 187 and 193 is 36091.
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 187 and 193?
First, calculate the GCD of 187 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 193 = 0 remainder 187 |
| 2 | 193 ÷ 187 = 1 remainder 6 |
| 3 | 187 ÷ 6 = 31 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 63 | 1260 |
| 34 and 91 | 3094 |
| 164 and 107 | 17548 |
| 200 and 30 | 600 |
| 143 and 125 | 17875 |