Least Common Multiple (LCM) of 166 and 192
The least common multiple (LCM) of 166 and 192 is 15936.
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 192?
First, calculate the GCD of 166 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 192 = 0 remainder 166 |
| 2 | 192 ÷ 166 = 1 remainder 26 |
| 3 | 166 ÷ 26 = 6 remainder 10 |
| 4 | 26 ÷ 10 = 2 remainder 6 |
| 5 | 10 ÷ 6 = 1 remainder 4 |
| 6 | 6 ÷ 4 = 1 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 66 and 13 | 858 |
| 20 and 173 | 3460 |
| 174 and 67 | 11658 |
| 135 and 115 | 3105 |
| 113 and 76 | 8588 |