Least Common Multiple (LCM) of 166 and 159
The least common multiple (LCM) of 166 and 159 is 26394.
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 159?
First, calculate the GCD of 166 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 159 = 1 remainder 7 |
| 2 | 159 ÷ 7 = 22 remainder 5 |
| 3 | 7 ÷ 5 = 1 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 72 and 67 | 4824 |
| 172 and 198 | 17028 |
| 48 and 192 | 192 |
| 29 and 122 | 3538 |
| 55 and 71 | 3905 |