Least Common Multiple (LCM) of 163 and 186
The least common multiple (LCM) of 163 and 186 is 30318.
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 186?
First, calculate the GCD of 163 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 186 = 0 remainder 163 |
| 2 | 186 ÷ 163 = 1 remainder 23 |
| 3 | 163 ÷ 23 = 7 remainder 2 |
| 4 | 23 ÷ 2 = 11 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 49 | 2205 |
| 26 and 113 | 2938 |
| 110 and 22 | 110 |
| 128 and 58 | 3712 |
| 18 and 72 | 72 |