Least Common Multiple (LCM) of 162 and 96
The least common multiple (LCM) of 162 and 96 is 2592.
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 96?
First, calculate the GCD of 162 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 96 = 1 remainder 66 |
| 2 | 96 ÷ 66 = 1 remainder 30 |
| 3 | 66 ÷ 30 = 2 remainder 6 |
| 4 | 30 ÷ 6 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 192 | 3264 |
| 185 and 106 | 19610 |
| 102 and 99 | 3366 |
| 152 and 39 | 5928 |
| 108 and 72 | 216 |