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 |
|---|---|
| 145 and 16 | 2320 |
| 181 and 102 | 18462 |
| 183 and 174 | 10614 |
| 70 and 39 | 2730 |
| 119 and 110 | 13090 |