Least Common Multiple (LCM) of 129 and 133
The least common multiple (LCM) of 129 and 133 is 17157.
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 133?
First, calculate the GCD of 129 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 133 = 0 remainder 129 |
| 2 | 133 ÷ 129 = 1 remainder 4 |
| 3 | 129 ÷ 4 = 32 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 108 | 2700 |
| 194 and 193 | 37442 |
| 102 and 168 | 2856 |
| 97 and 147 | 14259 |
| 27 and 143 | 3861 |