Least Common Multiple (LCM) of 189 and 190
The least common multiple (LCM) of 189 and 190 is 35910.
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 189 and 190?
First, calculate the GCD of 189 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 189 ÷ 190 = 0 remainder 189 |
| 2 | 190 ÷ 189 = 1 remainder 1 |
| 3 | 189 ÷ 1 = 189 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 20 | 2820 |
| 120 and 200 | 600 |
| 147 and 153 | 7497 |
| 107 and 116 | 12412 |
| 161 and 181 | 29141 |