Least Common Multiple (LCM) of 191 and 33
The least common multiple (LCM) of 191 and 33 is 6303.
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 191 and 33?
First, calculate the GCD of 191 and 33 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 33 = 5 remainder 26 |
| 2 | 33 ÷ 26 = 1 remainder 7 |
| 3 | 26 ÷ 7 = 3 remainder 5 |
| 4 | 7 ÷ 5 = 1 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 53 | 6254 |
| 124 and 173 | 21452 |
| 132 and 17 | 2244 |
| 164 and 194 | 15908 |
| 120 and 177 | 7080 |