Least Common Multiple (LCM) of 199 and 146
The least common multiple (LCM) of 199 and 146 is 29054.
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 146?
First, calculate the GCD of 199 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 199 ÷ 146 = 1 remainder 53 |
| 2 | 146 ÷ 53 = 2 remainder 40 |
| 3 | 53 ÷ 40 = 1 remainder 13 |
| 4 | 40 ÷ 13 = 3 remainder 1 |
| 5 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 68 | 10132 |
| 108 and 130 | 7020 |
| 183 and 149 | 27267 |
| 149 and 181 | 26969 |
| 42 and 21 | 42 |