Least Common Multiple (LCM) of 133 and 135
The least common multiple (LCM) of 133 and 135 is 17955.
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 135?
First, calculate the GCD of 133 and 135 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 135 = 0 remainder 133 |
| 2 | 135 ÷ 133 = 1 remainder 2 |
| 3 | 133 ÷ 2 = 66 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 78 | 1716 |
| 181 and 91 | 16471 |
| 100 and 183 | 18300 |
| 162 and 172 | 13932 |
| 187 and 114 | 21318 |