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 |
|---|---|
| 114 and 98 | 5586 |
| 147 and 18 | 882 |
| 77 and 166 | 12782 |
| 177 and 19 | 3363 |
| 130 and 52 | 260 |