Least Common Multiple (LCM) of 163 and 30
The least common multiple (LCM) of 163 and 30 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 163 and 30?
First, calculate the GCD of 163 and 30 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 30 = 5 remainder 13 |
| 2 | 30 ÷ 13 = 2 remainder 4 |
| 3 | 13 ÷ 4 = 3 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 190 | 1520 |
| 19 and 192 | 3648 |
| 144 and 149 | 21456 |
| 152 and 106 | 8056 |
| 170 and 151 | 25670 |