Least Common Multiple (LCM) of 171 and 73
The least common multiple (LCM) of 171 and 73 is 12483.
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 73?
First, calculate the GCD of 171 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 73 = 2 remainder 25 |
| 2 | 73 ÷ 25 = 2 remainder 23 |
| 3 | 25 ÷ 23 = 1 remainder 2 |
| 4 | 23 ÷ 2 = 11 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 90 and 151 | 13590 |
| 32 and 145 | 4640 |
| 128 and 134 | 8576 |
| 184 and 165 | 30360 |
| 150 and 169 | 25350 |