Least Common Multiple (LCM) of 193 and 196
The least common multiple (LCM) of 193 and 196 is 37828.
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 196?
First, calculate the GCD of 193 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 196 = 0 remainder 193 |
| 2 | 196 ÷ 193 = 1 remainder 3 |
| 3 | 193 ÷ 3 = 64 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 137 | 23427 |
| 116 and 199 | 23084 |
| 188 and 126 | 11844 |
| 16 and 143 | 2288 |
| 155 and 77 | 11935 |