Least Common Multiple (LCM) of 198 and 30
The least common multiple (LCM) of 198 and 30 is 990.
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 30?
First, calculate the GCD of 198 and 30 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 30 = 6 remainder 18 |
| 2 | 30 ÷ 18 = 1 remainder 12 |
| 3 | 18 ÷ 12 = 1 remainder 6 |
| 4 | 12 ÷ 6 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 166 and 79 | 13114 |
| 199 and 75 | 14925 |
| 96 and 42 | 672 |
| 163 and 19 | 3097 |
| 190 and 163 | 30970 |