Least Common Multiple (LCM) of 193 and 66
The least common multiple (LCM) of 193 and 66 is 12738.
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 193 and 66?
First, calculate the GCD of 193 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 66 = 2 remainder 61 |
| 2 | 66 ÷ 61 = 1 remainder 5 |
| 3 | 61 ÷ 5 = 12 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 46 and 132 | 3036 |
| 18 and 200 | 1800 |
| 164 and 19 | 3116 |
| 141 and 51 | 2397 |
| 179 and 137 | 24523 |