Least Common Multiple (LCM) of 163 and 198
The least common multiple (LCM) of 163 and 198 is 32274.
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 198?
First, calculate the GCD of 163 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 198 = 0 remainder 163 |
| 2 | 198 ÷ 163 = 1 remainder 35 |
| 3 | 163 ÷ 35 = 4 remainder 23 |
| 4 | 35 ÷ 23 = 1 remainder 12 |
| 5 | 23 ÷ 12 = 1 remainder 11 |
| 6 | 12 ÷ 11 = 1 remainder 1 |
| 7 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 58 and 25 | 1450 |
| 108 and 65 | 7020 |
| 140 and 195 | 5460 |
| 58 and 199 | 11542 |
| 124 and 68 | 2108 |