Least Common Multiple (LCM) of 96 and 163
The least common multiple (LCM) of 96 and 163 is 15648.
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 96 and 163?
First, calculate the GCD of 96 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 96 ÷ 163 = 0 remainder 96 |
| 2 | 163 ÷ 96 = 1 remainder 67 |
| 3 | 96 ÷ 67 = 1 remainder 29 |
| 4 | 67 ÷ 29 = 2 remainder 9 |
| 5 | 29 ÷ 9 = 3 remainder 2 |
| 6 | 9 ÷ 2 = 4 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 130 | 10530 |
| 48 and 166 | 3984 |
| 113 and 135 | 15255 |
| 68 and 154 | 5236 |
| 67 and 193 | 12931 |