Least Common Multiple (LCM) of 44 and 198
The least common multiple (LCM) of 44 and 198 is 396.
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 44 and 198?
First, calculate the GCD of 44 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 198 = 0 remainder 44 |
| 2 | 198 ÷ 44 = 4 remainder 22 |
| 3 | 44 ÷ 22 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 83 | 10209 |
| 36 and 56 | 504 |
| 117 and 10 | 1170 |
| 151 and 114 | 17214 |
| 79 and 82 | 6478 |