Least Common Multiple (LCM) of 133 and 191
The least common multiple (LCM) of 133 and 191 is 25403.
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 191?
First, calculate the GCD of 133 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 191 = 0 remainder 133 |
| 2 | 191 ÷ 133 = 1 remainder 58 |
| 3 | 133 ÷ 58 = 2 remainder 17 |
| 4 | 58 ÷ 17 = 3 remainder 7 |
| 5 | 17 ÷ 7 = 2 remainder 3 |
| 6 | 7 ÷ 3 = 2 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 133 | 15029 |
| 168 and 29 | 4872 |
| 196 and 105 | 2940 |
| 113 and 31 | 3503 |
| 90 and 116 | 5220 |