Least Common Multiple (LCM) of 194 and 185
The least common multiple (LCM) of 194 and 185 is 35890.
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 194 and 185?
First, calculate the GCD of 194 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 185 = 1 remainder 9 |
| 2 | 185 ÷ 9 = 20 remainder 5 |
| 3 | 9 ÷ 5 = 1 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 11 | 1749 |
| 41 and 122 | 5002 |
| 135 and 27 | 135 |
| 193 and 31 | 5983 |
| 77 and 26 | 2002 |