Least Common Multiple (LCM) of 190 and 189
The least common multiple (LCM) of 190 and 189 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 190 and 189?
First, calculate the GCD of 190 and 189 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 189 = 1 remainder 1 |
| 2 | 189 ÷ 1 = 189 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 80 | 15120 |
| 100 and 86 | 4300 |
| 70 and 51 | 3570 |
| 67 and 191 | 12797 |
| 137 and 192 | 26304 |