Least Common Multiple (LCM) of 166 and 121
The least common multiple (LCM) of 166 and 121 is 20086.
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 121?
First, calculate the GCD of 166 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 121 = 1 remainder 45 |
| 2 | 121 ÷ 45 = 2 remainder 31 |
| 3 | 45 ÷ 31 = 1 remainder 14 |
| 4 | 31 ÷ 14 = 2 remainder 3 |
| 5 | 14 ÷ 3 = 4 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 23 and 148 | 3404 |
| 26 and 181 | 4706 |
| 101 and 75 | 7575 |
| 107 and 183 | 19581 |
| 41 and 140 | 5740 |