Least Common Multiple (LCM) of 181 and 186
The least common multiple (LCM) of 181 and 186 is 33666.
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 181 and 186?
First, calculate the GCD of 181 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 186 = 0 remainder 181 |
| 2 | 186 ÷ 181 = 1 remainder 5 |
| 3 | 181 ÷ 5 = 36 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 47 | 5546 |
| 20 and 109 | 2180 |
| 186 and 65 | 12090 |
| 16 and 83 | 1328 |
| 57 and 174 | 3306 |