Least Common Multiple (LCM) of 71 and 166
The least common multiple (LCM) of 71 and 166 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 71 and 166?
First, calculate the GCD of 71 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 71 ÷ 166 = 0 remainder 71 |
| 2 | 166 ÷ 71 = 2 remainder 24 |
| 3 | 71 ÷ 24 = 2 remainder 23 |
| 4 | 24 ÷ 23 = 1 remainder 1 |
| 5 | 23 ÷ 1 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 164 and 84 | 3444 |
| 157 and 102 | 16014 |
| 80 and 55 | 880 |
| 103 and 153 | 15759 |
| 23 and 135 | 3105 |