Least Common Multiple (LCM) of 163 and 96
The least common multiple (LCM) of 163 and 96 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 163 and 96?
First, calculate the GCD of 163 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 96 = 1 remainder 67 |
| 2 | 96 ÷ 67 = 1 remainder 29 |
| 3 | 67 ÷ 29 = 2 remainder 9 |
| 4 | 29 ÷ 9 = 3 remainder 2 |
| 5 | 9 ÷ 2 = 4 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 60 and 142 | 4260 |
| 183 and 124 | 22692 |
| 180 and 152 | 6840 |
| 96 and 63 | 2016 |
| 92 and 187 | 17204 |