Least Common Multiple (LCM) of 193 and 124
The least common multiple (LCM) of 193 and 124 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 193 and 124?
First, calculate the GCD of 193 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 124 = 1 remainder 69 |
| 2 | 124 ÷ 69 = 1 remainder 55 |
| 3 | 69 ÷ 55 = 1 remainder 14 |
| 4 | 55 ÷ 14 = 3 remainder 13 |
| 5 | 14 ÷ 13 = 1 remainder 1 |
| 6 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 52 and 124 | 1612 |
| 54 and 28 | 756 |
| 98 and 74 | 3626 |
| 193 and 50 | 9650 |
| 139 and 122 | 16958 |