Least Common Multiple (LCM) of 166 and 71
The least common multiple (LCM) of 166 and 71 is 11786.
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 71?
First, calculate the GCD of 166 and 71 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 71 = 2 remainder 24 |
| 2 | 71 ÷ 24 = 2 remainder 23 |
| 3 | 24 ÷ 23 = 1 remainder 1 |
| 4 | 23 ÷ 1 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 38 | 2242 |
| 187 and 61 | 11407 |
| 20 and 127 | 2540 |
| 67 and 15 | 1005 |
| 146 and 149 | 21754 |