Least Common Multiple (LCM) of 198 and 57
The least common multiple (LCM) of 198 and 57 is 3762.
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 57?
First, calculate the GCD of 198 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 57 = 3 remainder 27 |
| 2 | 57 ÷ 27 = 2 remainder 3 |
| 3 | 27 ÷ 3 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 85 and 59 | 5015 |
| 124 and 48 | 1488 |
| 194 and 190 | 18430 |
| 135 and 144 | 2160 |
| 114 and 103 | 11742 |