Least Common Multiple (LCM) of 183 and 166
The least common multiple (LCM) of 183 and 166 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 183 and 166?
First, calculate the GCD of 183 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 166 = 1 remainder 17 |
| 2 | 166 ÷ 17 = 9 remainder 13 |
| 3 | 17 ÷ 13 = 1 remainder 4 |
| 4 | 13 ÷ 4 = 3 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 48 and 51 | 816 |
| 66 and 125 | 8250 |
| 134 and 129 | 17286 |
| 100 and 24 | 600 |
| 108 and 73 | 7884 |