Least Common Multiple (LCM) of 166 and 199
The least common multiple (LCM) of 166 and 199 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 166 and 199?
First, calculate the GCD of 166 and 199 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 199 = 0 remainder 166 |
| 2 | 199 ÷ 166 = 1 remainder 33 |
| 3 | 166 ÷ 33 = 5 remainder 1 |
| 4 | 33 ÷ 1 = 33 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 91 and 84 | 1092 |
| 73 and 41 | 2993 |
| 199 and 55 | 10945 |
| 175 and 86 | 15050 |
| 36 and 14 | 252 |