Least Common Multiple (LCM) of 133 and 146
The least common multiple (LCM) of 133 and 146 is 19418.
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 146?
First, calculate the GCD of 133 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 146 = 0 remainder 133 |
| 2 | 146 ÷ 133 = 1 remainder 13 |
| 3 | 133 ÷ 13 = 10 remainder 3 |
| 4 | 13 ÷ 3 = 4 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 54 and 46 | 1242 |
| 192 and 133 | 25536 |
| 74 and 46 | 1702 |
| 20 and 42 | 420 |
| 80 and 199 | 15920 |