Least Common Multiple (LCM) of 166 and 181
The least common multiple (LCM) of 166 and 181 is 30046.
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 181?
First, calculate the GCD of 166 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 181 = 0 remainder 166 |
| 2 | 181 ÷ 166 = 1 remainder 15 |
| 3 | 166 ÷ 15 = 11 remainder 1 |
| 4 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 51 | 6528 |
| 64 and 186 | 5952 |
| 200 and 137 | 27400 |
| 146 and 24 | 1752 |
| 58 and 180 | 5220 |