Least Common Multiple (LCM) of 198 and 73
The least common multiple (LCM) of 198 and 73 is 14454.
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 198 and 73?
First, calculate the GCD of 198 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 73 = 2 remainder 52 |
| 2 | 73 ÷ 52 = 1 remainder 21 |
| 3 | 52 ÷ 21 = 2 remainder 10 |
| 4 | 21 ÷ 10 = 2 remainder 1 |
| 5 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 143 and 193 | 27599 |
| 46 and 46 | 46 |
| 24 and 137 | 3288 |
| 73 and 189 | 13797 |
| 164 and 19 | 3116 |