Least Common Multiple (LCM) of 124 and 193
The least common multiple (LCM) of 124 and 193 is 23932.
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 124 and 193?
First, calculate the GCD of 124 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 193 = 0 remainder 124 |
| 2 | 193 ÷ 124 = 1 remainder 69 |
| 3 | 124 ÷ 69 = 1 remainder 55 |
| 4 | 69 ÷ 55 = 1 remainder 14 |
| 5 | 55 ÷ 14 = 3 remainder 13 |
| 6 | 14 ÷ 13 = 1 remainder 1 |
| 7 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 153 and 133 | 20349 |
| 83 and 137 | 11371 |
| 131 and 131 | 131 |
| 58 and 80 | 2320 |
| 37 and 109 | 4033 |