Least Common Multiple (LCM) of 171 and 183
The least common multiple (LCM) of 171 and 183 is 10431.
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 183?
First, calculate the GCD of 171 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 183 = 0 remainder 171 |
| 2 | 183 ÷ 171 = 1 remainder 12 |
| 3 | 171 ÷ 12 = 14 remainder 3 |
| 4 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 60 | 720 |
| 56 and 63 | 504 |
| 182 and 15 | 2730 |
| 198 and 105 | 6930 |
| 85 and 107 | 9095 |