Least Common Multiple (LCM) of 177 and 191
The least common multiple (LCM) of 177 and 191 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 177 and 191?
First, calculate the GCD of 177 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 191 = 0 remainder 177 |
| 2 | 191 ÷ 177 = 1 remainder 14 |
| 3 | 177 ÷ 14 = 12 remainder 9 |
| 4 | 14 ÷ 9 = 1 remainder 5 |
| 5 | 9 ÷ 5 = 1 remainder 4 |
| 6 | 5 ÷ 4 = 1 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 153 and 119 | 1071 |
| 159 and 118 | 18762 |
| 197 and 52 | 10244 |
| 56 and 144 | 1008 |
| 92 and 107 | 9844 |