Least Common Multiple (LCM) of 66 and 186
The least common multiple (LCM) of 66 and 186 is 2046.
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 66 and 186?
First, calculate the GCD of 66 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 66 ÷ 186 = 0 remainder 66 |
| 2 | 186 ÷ 66 = 2 remainder 54 |
| 3 | 66 ÷ 54 = 1 remainder 12 |
| 4 | 54 ÷ 12 = 4 remainder 6 |
| 5 | 12 ÷ 6 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 135 | 20385 |
| 105 and 48 | 1680 |
| 76 and 83 | 6308 |
| 185 and 77 | 14245 |
| 156 and 88 | 3432 |