Least Common Multiple (LCM) of 199 and 158
The least common multiple (LCM) of 199 and 158 is 31442.
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 158?
First, calculate the GCD of 199 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 199 ÷ 158 = 1 remainder 41 |
| 2 | 158 ÷ 41 = 3 remainder 35 |
| 3 | 41 ÷ 35 = 1 remainder 6 |
| 4 | 35 ÷ 6 = 5 remainder 5 |
| 5 | 6 ÷ 5 = 1 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 185 and 91 | 16835 |
| 184 and 69 | 552 |
| 112 and 176 | 1232 |
| 149 and 36 | 5364 |
| 39 and 158 | 6162 |