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 |
|---|---|
| 177 and 18 | 1062 |
| 50 and 190 | 950 |
| 122 and 124 | 7564 |
| 136 and 142 | 9656 |
| 105 and 121 | 12705 |