Least Common Multiple (LCM) of 199 and 188
The least common multiple (LCM) of 199 and 188 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 199 and 188?
First, calculate the GCD of 199 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 199 ÷ 188 = 1 remainder 11 |
| 2 | 188 ÷ 11 = 17 remainder 1 |
| 3 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 143 and 156 | 1716 |
| 174 and 136 | 11832 |
| 20 and 137 | 2740 |
| 46 and 122 | 2806 |
| 69 and 66 | 1518 |