Least Common Multiple (LCM) of 193 and 39
The least common multiple (LCM) of 193 and 39 is 7527.
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 39?
First, calculate the GCD of 193 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 39 = 4 remainder 37 |
| 2 | 39 ÷ 37 = 1 remainder 2 |
| 3 | 37 ÷ 2 = 18 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 115 | 1380 |
| 106 and 197 | 20882 |
| 67 and 139 | 9313 |
| 199 and 14 | 2786 |
| 156 and 128 | 4992 |