Least Common Multiple (LCM) of 193 and 93
The least common multiple (LCM) of 193 and 93 is 17949.
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 93?
First, calculate the GCD of 193 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 93 = 2 remainder 7 |
| 2 | 93 ÷ 7 = 13 remainder 2 |
| 3 | 7 ÷ 2 = 3 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 27 and 63 | 189 |
| 48 and 17 | 816 |
| 197 and 138 | 27186 |
| 93 and 83 | 7719 |
| 101 and 146 | 14746 |