Least Common Multiple (LCM) of 199 and 46
The least common multiple (LCM) of 199 and 46 is 9154.
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 46?
First, calculate the GCD of 199 and 46 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 199 ÷ 46 = 4 remainder 15 |
| 2 | 46 ÷ 15 = 3 remainder 1 |
| 3 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 61 and 109 | 6649 |
| 56 and 193 | 10808 |
| 145 and 118 | 17110 |
| 17 and 33 | 561 |
| 52 and 113 | 5876 |