Least Common Multiple (LCM) of 39 and 198
The least common multiple (LCM) of 39 and 198 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 39 and 198?
First, calculate the GCD of 39 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 39 ÷ 198 = 0 remainder 39 |
| 2 | 198 ÷ 39 = 5 remainder 3 |
| 3 | 39 ÷ 3 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 52 and 74 | 1924 |
| 146 and 56 | 4088 |
| 165 and 183 | 10065 |
| 104 and 156 | 312 |
| 65 and 21 | 1365 |