Least Common Multiple (LCM) of 133 and 136
The least common multiple (LCM) of 133 and 136 is 18088.
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 136?
First, calculate the GCD of 133 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 136 = 0 remainder 133 |
| 2 | 136 ÷ 133 = 1 remainder 3 |
| 3 | 133 ÷ 3 = 44 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 166 | 32370 |
| 168 and 14 | 168 |
| 182 and 119 | 3094 |
| 93 and 193 | 17949 |
| 17 and 171 | 2907 |