Least Common Multiple (LCM) of 195 and 198
The least common multiple (LCM) of 195 and 198 is 12870.
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 195 and 198?
First, calculate the GCD of 195 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 198 = 0 remainder 195 |
| 2 | 198 ÷ 195 = 1 remainder 3 |
| 3 | 195 ÷ 3 = 65 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 184 and 115 | 920 |
| 72 and 77 | 5544 |
| 40 and 31 | 1240 |
| 114 and 36 | 684 |
| 121 and 136 | 16456 |