Least Common Multiple (LCM) of 24 and 193
The least common multiple (LCM) of 24 and 193 is 4632.
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 24 and 193?
First, calculate the GCD of 24 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 24 ÷ 193 = 0 remainder 24 |
| 2 | 193 ÷ 24 = 8 remainder 1 |
| 3 | 24 ÷ 1 = 24 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 123 | 4920 |
| 63 and 75 | 1575 |
| 35 and 25 | 175 |
| 128 and 166 | 10624 |
| 180 and 194 | 17460 |