Least Common Multiple (LCM) of 193 and 188
The least common multiple (LCM) of 193 and 188 is 36284.
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 188?
First, calculate the GCD of 193 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 188 = 1 remainder 5 |
| 2 | 188 ÷ 5 = 37 remainder 3 |
| 3 | 5 ÷ 3 = 1 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 85 | 1785 |
| 16 and 159 | 2544 |
| 78 and 155 | 12090 |
| 111 and 80 | 8880 |
| 96 and 69 | 2208 |