Least Common Multiple (LCM) of 191 and 177
The least common multiple (LCM) of 191 and 177 is 33807.
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 177?
First, calculate the GCD of 191 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 177 = 1 remainder 14 |
| 2 | 177 ÷ 14 = 12 remainder 9 |
| 3 | 14 ÷ 9 = 1 remainder 5 |
| 4 | 9 ÷ 5 = 1 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 27 and 54 | 54 |
| 119 and 142 | 16898 |
| 158 and 156 | 12324 |
| 120 and 137 | 16440 |
| 180 and 125 | 4500 |