Least Common Multiple (LCM) of 129 and 16
The least common multiple (LCM) of 129 and 16 is 2064.
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 129 and 16?
First, calculate the GCD of 129 and 16 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 16 = 8 remainder 1 |
| 2 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 14 | 1022 |
| 191 and 155 | 29605 |
| 189 and 165 | 10395 |
| 97 and 111 | 10767 |
| 170 and 169 | 28730 |