Least Common Multiple (LCM) of 198 and 39
The least common multiple (LCM) of 198 and 39 is 2574.
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 39?
First, calculate the GCD of 198 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 39 = 5 remainder 3 |
| 2 | 39 ÷ 3 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 102 | 12750 |
| 198 and 179 | 35442 |
| 184 and 75 | 13800 |
| 148 and 169 | 25012 |
| 180 and 23 | 4140 |