Least Common Multiple (LCM) of 121 and 166
The least common multiple (LCM) of 121 and 166 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 121 and 166?
First, calculate the GCD of 121 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 166 = 0 remainder 121 |
| 2 | 166 ÷ 121 = 1 remainder 45 |
| 3 | 121 ÷ 45 = 2 remainder 31 |
| 4 | 45 ÷ 31 = 1 remainder 14 |
| 5 | 31 ÷ 14 = 2 remainder 3 |
| 6 | 14 ÷ 3 = 4 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 43 and 119 | 5117 |
| 36 and 71 | 2556 |
| 38 and 85 | 3230 |
| 152 and 49 | 7448 |
| 160 and 22 | 1760 |