Least Common Multiple (LCM) of 162 and 192
The least common multiple (LCM) of 162 and 192 is 5184.
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 162 and 192?
First, calculate the GCD of 162 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 192 = 0 remainder 162 |
| 2 | 192 ÷ 162 = 1 remainder 30 |
| 3 | 162 ÷ 30 = 5 remainder 12 |
| 4 | 30 ÷ 12 = 2 remainder 6 |
| 5 | 12 ÷ 6 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 80 | 9680 |
| 199 and 45 | 8955 |
| 163 and 22 | 3586 |
| 99 and 80 | 7920 |
| 74 and 138 | 5106 |