Least Common Multiple (LCM) of 193 and 50
The least common multiple (LCM) of 193 and 50 is 9650.
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 193 and 50?
First, calculate the GCD of 193 and 50 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 50 = 3 remainder 43 |
| 2 | 50 ÷ 43 = 1 remainder 7 |
| 3 | 43 ÷ 7 = 6 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 62 and 146 | 4526 |
| 82 and 133 | 10906 |
| 63 and 50 | 3150 |
| 132 and 31 | 4092 |
| 142 and 102 | 7242 |