Least Common Multiple (LCM) of 186 and 187
The least common multiple (LCM) of 186 and 187 is 34782.
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 187?
First, calculate the GCD of 186 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 187 = 0 remainder 186 |
| 2 | 187 ÷ 186 = 1 remainder 1 |
| 3 | 186 ÷ 1 = 186 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 59 | 10679 |
| 38 and 105 | 3990 |
| 148 and 105 | 15540 |
| 51 and 83 | 4233 |
| 102 and 67 | 6834 |