Least Common Multiple (LCM) of 199 and 186
The least common multiple (LCM) of 199 and 186 is 37014.
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 186?
First, calculate the GCD of 199 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 199 ÷ 186 = 1 remainder 13 |
| 2 | 186 ÷ 13 = 14 remainder 4 |
| 3 | 13 ÷ 4 = 3 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 181 | 28960 |
| 47 and 117 | 5499 |
| 82 and 139 | 11398 |
| 166 and 196 | 16268 |
| 128 and 81 | 10368 |