Least Common Multiple (LCM) of 133 and 129
The least common multiple (LCM) of 133 and 129 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 133 and 129?
First, calculate the GCD of 133 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 129 = 1 remainder 4 |
| 2 | 129 ÷ 4 = 32 remainder 1 |
| 3 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 88 and 160 | 1760 |
| 54 and 198 | 594 |
| 104 and 104 | 104 |
| 116 and 176 | 5104 |
| 110 and 199 | 21890 |