Least Common Multiple (LCM) of 163 and 185
The least common multiple (LCM) of 163 and 185 is 30155.
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 185?
First, calculate the GCD of 163 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 185 = 0 remainder 163 |
| 2 | 185 ÷ 163 = 1 remainder 22 |
| 3 | 163 ÷ 22 = 7 remainder 9 |
| 4 | 22 ÷ 9 = 2 remainder 4 |
| 5 | 9 ÷ 4 = 2 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 134 and 30 | 2010 |
| 199 and 175 | 34825 |
| 172 and 115 | 19780 |
| 23 and 169 | 3887 |
| 45 and 163 | 7335 |