Least Common Multiple (LCM) of 188 and 199
The least common multiple (LCM) of 188 and 199 is 37412.
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 188 and 199?
First, calculate the GCD of 188 and 199 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 199 = 0 remainder 188 |
| 2 | 199 ÷ 188 = 1 remainder 11 |
| 3 | 188 ÷ 11 = 17 remainder 1 |
| 4 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 110 | 1540 |
| 110 and 31 | 3410 |
| 167 and 142 | 23714 |
| 165 and 162 | 8910 |
| 15 and 95 | 285 |