Least Common Multiple (LCM) of 198 and 22
The least common multiple (LCM) of 198 and 22 is 198.
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 22?
First, calculate the GCD of 198 and 22 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 22 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 27 and 178 | 4806 |
| 108 and 160 | 4320 |
| 112 and 32 | 224 |
| 138 and 48 | 1104 |
| 172 and 141 | 24252 |