Least Common Multiple (LCM) of 199 and 166
The least common multiple (LCM) of 199 and 166 is 33034.
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 199 and 166?
First, calculate the GCD of 199 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 199 ÷ 166 = 1 remainder 33 |
| 2 | 166 ÷ 33 = 5 remainder 1 |
| 3 | 33 ÷ 1 = 33 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 82 | 410 |
| 164 and 80 | 3280 |
| 52 and 46 | 1196 |
| 54 and 41 | 2214 |
| 133 and 100 | 13300 |