Least Common Multiple (LCM) of 129 and 161
The least common multiple (LCM) of 129 and 161 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 129 and 161?
First, calculate the GCD of 129 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 161 = 0 remainder 129 |
| 2 | 161 ÷ 129 = 1 remainder 32 |
| 3 | 129 ÷ 32 = 4 remainder 1 |
| 4 | 32 ÷ 1 = 32 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 83 and 140 | 11620 |
| 194 and 196 | 19012 |
| 97 and 113 | 10961 |
| 142 and 174 | 12354 |
| 90 and 115 | 2070 |