Least Common Multiple (LCM) of 171 and 177
The least common multiple (LCM) of 171 and 177 is 10089.
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 171 and 177?
First, calculate the GCD of 171 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 177 = 0 remainder 171 |
| 2 | 177 ÷ 171 = 1 remainder 6 |
| 3 | 171 ÷ 6 = 28 remainder 3 |
| 4 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 27 | 4104 |
| 141 and 137 | 19317 |
| 75 and 38 | 2850 |
| 127 and 96 | 12192 |
| 125 and 57 | 7125 |