Least Common Multiple (LCM) of 171 and 129
The least common multiple (LCM) of 171 and 129 is 7353.
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 129?
First, calculate the GCD of 171 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 129 = 1 remainder 42 |
| 2 | 129 ÷ 42 = 3 remainder 3 |
| 3 | 42 ÷ 3 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 155 and 186 | 930 |
| 136 and 67 | 9112 |
| 187 and 57 | 10659 |
| 195 and 181 | 35295 |
| 172 and 47 | 8084 |