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 |
|---|---|
| 184 and 93 | 17112 |
| 135 and 45 | 135 |
| 197 and 167 | 32899 |
| 13 and 166 | 2158 |
| 151 and 62 | 9362 |