Least Common Multiple (LCM) of 73 and 65
The least common multiple (LCM) of 73 and 65 is 4745.
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 73 and 65?
First, calculate the GCD of 73 and 65 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 65 = 1 remainder 8 |
| 2 | 65 ÷ 8 = 8 remainder 1 |
| 3 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 58 | 4466 |
| 135 and 92 | 12420 |
| 116 and 13 | 1508 |
| 33 and 41 | 1353 |
| 131 and 82 | 10742 |