Least Common Multiple (LCM) of 171 and 39
The least common multiple (LCM) of 171 and 39 is 2223.
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 39?
First, calculate the GCD of 171 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 39 = 4 remainder 15 |
| 2 | 39 ÷ 15 = 2 remainder 9 |
| 3 | 15 ÷ 9 = 1 remainder 6 |
| 4 | 9 ÷ 6 = 1 remainder 3 |
| 5 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 117 | 2223 |
| 154 and 191 | 29414 |
| 140 and 181 | 25340 |
| 76 and 109 | 8284 |
| 168 and 200 | 4200 |