Least Common Multiple (LCM) of 192 and 23
The least common multiple (LCM) of 192 and 23 is 4416.
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 192 and 23?
First, calculate the GCD of 192 and 23 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 23 = 8 remainder 8 |
| 2 | 23 ÷ 8 = 2 remainder 7 |
| 3 | 8 ÷ 7 = 1 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 148 and 23 | 3404 |
| 59 and 157 | 9263 |
| 199 and 53 | 10547 |
| 144 and 90 | 720 |
| 181 and 61 | 11041 |