Least Common Multiple (LCM) of 198 and 141
The least common multiple (LCM) of 198 and 141 is 9306.
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 141?
First, calculate the GCD of 198 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 141 = 1 remainder 57 |
| 2 | 141 ÷ 57 = 2 remainder 27 |
| 3 | 57 ÷ 27 = 2 remainder 3 |
| 4 | 27 ÷ 3 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 68 and 123 | 8364 |
| 112 and 39 | 4368 |
| 194 and 83 | 16102 |
| 171 and 75 | 4275 |
| 46 and 186 | 4278 |