Least Common Multiple (LCM) of 166 and 183
The least common multiple (LCM) of 166 and 183 is 30378.
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 183?
First, calculate the GCD of 166 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 183 = 0 remainder 166 |
| 2 | 183 ÷ 166 = 1 remainder 17 |
| 3 | 166 ÷ 17 = 9 remainder 13 |
| 4 | 17 ÷ 13 = 1 remainder 4 |
| 5 | 13 ÷ 4 = 3 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 25 and 39 | 975 |
| 171 and 71 | 12141 |
| 162 and 75 | 4050 |
| 19 and 133 | 133 |
| 60 and 71 | 4260 |