Least Common Multiple (LCM) of 30 and 163
The least common multiple (LCM) of 30 and 163 is 4890.
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 30 and 163?
First, calculate the GCD of 30 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 30 ÷ 163 = 0 remainder 30 |
| 2 | 163 ÷ 30 = 5 remainder 13 |
| 3 | 30 ÷ 13 = 2 remainder 4 |
| 4 | 13 ÷ 4 = 3 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 105 | 19635 |
| 61 and 62 | 3782 |
| 191 and 188 | 35908 |
| 61 and 121 | 7381 |
| 29 and 149 | 4321 |