Least Common Multiple (LCM) of 133 and 190
The least common multiple (LCM) of 133 and 190 is 1330.
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 190?
First, calculate the GCD of 133 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 190 = 0 remainder 133 |
| 2 | 190 ÷ 133 = 1 remainder 57 |
| 3 | 133 ÷ 57 = 2 remainder 19 |
| 4 | 57 ÷ 19 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 62 and 61 | 3782 |
| 167 and 150 | 25050 |
| 91 and 19 | 1729 |
| 19 and 105 | 1995 |
| 36 and 191 | 6876 |