Least Common Multiple (LCM) of 195 and 177
The least common multiple (LCM) of 195 and 177 is 11505.
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 195 and 177?
First, calculate the GCD of 195 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 177 = 1 remainder 18 |
| 2 | 177 ÷ 18 = 9 remainder 15 |
| 3 | 18 ÷ 15 = 1 remainder 3 |
| 4 | 15 ÷ 3 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 197 | 21670 |
| 132 and 81 | 3564 |
| 86 and 79 | 6794 |
| 90 and 27 | 270 |
| 17 and 129 | 2193 |