Least Common Multiple (LCM) of 163 and 68
The least common multiple (LCM) of 163 and 68 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 163 and 68?
First, calculate the GCD of 163 and 68 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 68 = 2 remainder 27 |
| 2 | 68 ÷ 27 = 2 remainder 14 |
| 3 | 27 ÷ 14 = 1 remainder 13 |
| 4 | 14 ÷ 13 = 1 remainder 1 |
| 5 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 189 | 4725 |
| 60 and 137 | 8220 |
| 197 and 15 | 2955 |
| 76 and 42 | 1596 |
| 45 and 106 | 4770 |