Least Common Multiple (LCM) of 133 and 194
The least common multiple (LCM) of 133 and 194 is 25802.
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 194?
First, calculate the GCD of 133 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 194 = 0 remainder 133 |
| 2 | 194 ÷ 133 = 1 remainder 61 |
| 3 | 133 ÷ 61 = 2 remainder 11 |
| 4 | 61 ÷ 11 = 5 remainder 6 |
| 5 | 11 ÷ 6 = 1 remainder 5 |
| 6 | 6 ÷ 5 = 1 remainder 1 |
| 7 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 78 and 27 | 702 |
| 41 and 126 | 5166 |
| 114 and 55 | 6270 |
| 157 and 188 | 29516 |
| 109 and 18 | 1962 |