Least Common Multiple (LCM) of 166 and 40
The least common multiple (LCM) of 166 and 40 is 3320.
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 40?
First, calculate the GCD of 166 and 40 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 40 = 4 remainder 6 |
| 2 | 40 ÷ 6 = 6 remainder 4 |
| 3 | 6 ÷ 4 = 1 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 164 | 2460 |
| 57 and 23 | 1311 |
| 103 and 84 | 8652 |
| 194 and 94 | 9118 |
| 181 and 191 | 34571 |