Least Common Multiple (LCM) of 66 and 191
The least common multiple (LCM) of 66 and 191 is 12606.
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 66 and 191?
First, calculate the GCD of 66 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 66 ÷ 191 = 0 remainder 66 |
| 2 | 191 ÷ 66 = 2 remainder 59 |
| 3 | 66 ÷ 59 = 1 remainder 7 |
| 4 | 59 ÷ 7 = 8 remainder 3 |
| 5 | 7 ÷ 3 = 2 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 134 and 178 | 11926 |
| 100 and 20 | 100 |
| 18 and 12 | 36 |
| 150 and 118 | 8850 |
| 67 and 180 | 12060 |