Least Common Multiple (LCM) of 192 and 162
The least common multiple (LCM) of 192 and 162 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 192 and 162?
First, calculate the GCD of 192 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 162 = 1 remainder 30 |
| 2 | 162 ÷ 30 = 5 remainder 12 |
| 3 | 30 ÷ 12 = 2 remainder 6 |
| 4 | 12 ÷ 6 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 177 | 27258 |
| 115 and 163 | 18745 |
| 66 and 39 | 858 |
| 167 and 79 | 13193 |
| 45 and 64 | 2880 |