Least Common Multiple (LCM) of 193 and 61
The least common multiple (LCM) of 193 and 61 is 11773.
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 61?
First, calculate the GCD of 193 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 61 = 3 remainder 10 |
| 2 | 61 ÷ 10 = 6 remainder 1 |
| 3 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 72 | 13464 |
| 152 and 19 | 152 |
| 137 and 136 | 18632 |
| 189 and 70 | 1890 |
| 76 and 15 | 1140 |