Least Common Multiple (LCM) of 186 and 185
The least common multiple (LCM) of 186 and 185 is 34410.
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 186 and 185?
First, calculate the GCD of 186 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 185 = 1 remainder 1 |
| 2 | 185 ÷ 1 = 185 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 90 and 74 | 3330 |
| 122 and 149 | 18178 |
| 172 and 131 | 22532 |
| 122 and 40 | 2440 |
| 30 and 152 | 2280 |