Least Common Multiple (LCM) of 171 and 182
The least common multiple (LCM) of 171 and 182 is 31122.
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 182?
First, calculate the GCD of 171 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 182 = 0 remainder 171 |
| 2 | 182 ÷ 171 = 1 remainder 11 |
| 3 | 171 ÷ 11 = 15 remainder 6 |
| 4 | 11 ÷ 6 = 1 remainder 5 |
| 5 | 6 ÷ 5 = 1 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 39 | 390 |
| 157 and 71 | 11147 |
| 142 and 51 | 7242 |
| 124 and 122 | 7564 |
| 125 and 15 | 375 |