Least Common Multiple (LCM) of 166 and 17
The least common multiple (LCM) of 166 and 17 is 2822.
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 17?
First, calculate the GCD of 166 and 17 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 17 = 9 remainder 13 |
| 2 | 17 ÷ 13 = 1 remainder 4 |
| 3 | 13 ÷ 4 = 3 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 26 and 149 | 3874 |
| 71 and 166 | 11786 |
| 37 and 78 | 2886 |
| 75 and 163 | 12225 |
| 179 and 178 | 31862 |