Least Common Multiple (LCM) of 193 and 185
The least common multiple (LCM) of 193 and 185 is 35705.
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 185?
First, calculate the GCD of 193 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 185 = 1 remainder 8 |
| 2 | 185 ÷ 8 = 23 remainder 1 |
| 3 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 112 | 560 |
| 39 and 173 | 6747 |
| 14 and 74 | 518 |
| 64 and 112 | 448 |
| 122 and 186 | 11346 |