Least Common Multiple (LCM) of 193 and 138
The least common multiple (LCM) of 193 and 138 is 26634.
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 138?
First, calculate the GCD of 193 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 138 = 1 remainder 55 |
| 2 | 138 ÷ 55 = 2 remainder 28 |
| 3 | 55 ÷ 28 = 1 remainder 27 |
| 4 | 28 ÷ 27 = 1 remainder 1 |
| 5 | 27 ÷ 1 = 27 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 92 and 45 | 4140 |
| 46 and 74 | 1702 |
| 123 and 106 | 13038 |
| 130 and 81 | 10530 |
| 22 and 23 | 506 |