Least Common Multiple (LCM) of 188 and 19
The least common multiple (LCM) of 188 and 19 is 3572.
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 19?
First, calculate the GCD of 188 and 19 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 19 = 9 remainder 17 |
| 2 | 19 ÷ 17 = 1 remainder 2 |
| 3 | 17 ÷ 2 = 8 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 109 | 19729 |
| 169 and 89 | 15041 |
| 149 and 118 | 17582 |
| 50 and 70 | 350 |
| 157 and 89 | 13973 |