Least Common Multiple (LCM) of 38 and 193
The least common multiple (LCM) of 38 and 193 is 7334.
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 38 and 193?
First, calculate the GCD of 38 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 38 ÷ 193 = 0 remainder 38 |
| 2 | 193 ÷ 38 = 5 remainder 3 |
| 3 | 38 ÷ 3 = 12 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 135 | 18360 |
| 153 and 56 | 8568 |
| 186 and 28 | 2604 |
| 99 and 60 | 1980 |
| 149 and 151 | 22499 |