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 |
|---|---|
| 177 and 29 | 5133 |
| 108 and 186 | 3348 |
| 116 and 24 | 696 |
| 135 and 183 | 8235 |
| 34 and 97 | 3298 |