Least Common Multiple (LCM) of 65 and 190
The least common multiple (LCM) of 65 and 190 is 2470.
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 65 and 190?
First, calculate the GCD of 65 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 65 ÷ 190 = 0 remainder 65 |
| 2 | 190 ÷ 65 = 2 remainder 60 |
| 3 | 65 ÷ 60 = 1 remainder 5 |
| 4 | 60 ÷ 5 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 151 | 27331 |
| 68 and 188 | 3196 |
| 123 and 102 | 4182 |
| 19 and 175 | 3325 |
| 134 and 200 | 13400 |