Least Common Multiple (LCM) of 199 and 18
The least common multiple (LCM) of 199 and 18 is 3582.
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 199 and 18?
First, calculate the GCD of 199 and 18 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 199 ÷ 18 = 11 remainder 1 |
| 2 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 47 and 157 | 7379 |
| 144 and 173 | 24912 |
| 107 and 122 | 13054 |
| 105 and 18 | 630 |
| 38 and 145 | 5510 |