Least Common Multiple (LCM) of 193 and 135
The least common multiple (LCM) of 193 and 135 is 26055.
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 135?
First, calculate the GCD of 193 and 135 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 135 = 1 remainder 58 |
| 2 | 135 ÷ 58 = 2 remainder 19 |
| 3 | 58 ÷ 19 = 3 remainder 1 |
| 4 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 185 | 28490 |
| 17 and 15 | 255 |
| 44 and 55 | 220 |
| 60 and 35 | 420 |
| 37 and 78 | 2886 |