Least Common Multiple (LCM) of 187 and 186
The least common multiple (LCM) of 187 and 186 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 187 and 186?
First, calculate the GCD of 187 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 186 = 1 remainder 1 |
| 2 | 186 ÷ 1 = 186 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 153 | 612 |
| 132 and 82 | 5412 |
| 123 and 178 | 21894 |
| 137 and 139 | 19043 |
| 24 and 88 | 264 |