Least Common Multiple (LCM) of 146 and 65
The least common multiple (LCM) of 146 and 65 is 9490.
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 146 and 65?
First, calculate the GCD of 146 and 65 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 65 = 2 remainder 16 |
| 2 | 65 ÷ 16 = 4 remainder 1 |
| 3 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 28 and 53 | 1484 |
| 89 and 65 | 5785 |
| 161 and 27 | 4347 |
| 61 and 80 | 4880 |
| 126 and 122 | 7686 |