Least Common Multiple (LCM) of 161 and 129
The least common multiple (LCM) of 161 and 129 is 20769.
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 161 and 129?
First, calculate the GCD of 161 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 129 = 1 remainder 32 |
| 2 | 129 ÷ 32 = 4 remainder 1 |
| 3 | 32 ÷ 1 = 32 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 27 and 41 | 1107 |
| 93 and 151 | 14043 |
| 76 and 122 | 4636 |
| 171 and 121 | 20691 |
| 144 and 71 | 10224 |