Least Common Multiple (LCM) of 58 and 193
The least common multiple (LCM) of 58 and 193 is 11194.
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 58 and 193?
First, calculate the GCD of 58 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 58 ÷ 193 = 0 remainder 58 |
| 2 | 193 ÷ 58 = 3 remainder 19 |
| 3 | 58 ÷ 19 = 3 remainder 1 |
| 4 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 42 | 336 |
| 186 and 136 | 12648 |
| 180 and 197 | 35460 |
| 19 and 115 | 2185 |
| 22 and 154 | 154 |