Least Common Multiple (LCM) of 135 and 133
The least common multiple (LCM) of 135 and 133 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 135 and 133?
First, calculate the GCD of 135 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 135 ÷ 133 = 1 remainder 2 |
| 2 | 133 ÷ 2 = 66 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 200 | 18600 |
| 80 and 107 | 8560 |
| 188 and 169 | 31772 |
| 109 and 151 | 16459 |
| 40 and 198 | 3960 |