Least Common Multiple (LCM) of 171 and 29
The least common multiple (LCM) of 171 and 29 is 4959.
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 29?
First, calculate the GCD of 171 and 29 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 29 = 5 remainder 26 |
| 2 | 29 ÷ 26 = 1 remainder 3 |
| 3 | 26 ÷ 3 = 8 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 166 | 17098 |
| 41 and 113 | 4633 |
| 139 and 192 | 26688 |
| 68 and 142 | 4828 |
| 197 and 171 | 33687 |