Least Common Multiple (LCM) of 68 and 163
The least common multiple (LCM) of 68 and 163 is 11084.
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 68 and 163?
First, calculate the GCD of 68 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 68 ÷ 163 = 0 remainder 68 |
| 2 | 163 ÷ 68 = 2 remainder 27 |
| 3 | 68 ÷ 27 = 2 remainder 14 |
| 4 | 27 ÷ 14 = 1 remainder 13 |
| 5 | 14 ÷ 13 = 1 remainder 1 |
| 6 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 99 and 178 | 17622 |
| 158 and 113 | 17854 |
| 178 and 14 | 1246 |
| 66 and 128 | 4224 |
| 192 and 189 | 12096 |