Least Common Multiple (LCM) of 193 and 187
The least common multiple (LCM) of 193 and 187 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 193 and 187?
First, calculate the GCD of 193 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 187 = 1 remainder 6 |
| 2 | 187 ÷ 6 = 31 remainder 1 |
| 3 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 96 and 129 | 4128 |
| 51 and 28 | 1428 |
| 179 and 29 | 5191 |
| 59 and 190 | 11210 |
| 116 and 112 | 3248 |