Least Common Multiple (LCM) of 183 and 66
The least common multiple (LCM) of 183 and 66 is 4026.
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 66?
First, calculate the GCD of 183 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 66 = 2 remainder 51 |
| 2 | 66 ÷ 51 = 1 remainder 15 |
| 3 | 51 ÷ 15 = 3 remainder 6 |
| 4 | 15 ÷ 6 = 2 remainder 3 |
| 5 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 71 and 62 | 4402 |
| 106 and 158 | 8374 |
| 145 and 115 | 3335 |
| 96 and 38 | 1824 |
| 126 and 62 | 3906 |