Least Common Multiple (LCM) of 365 and 2
The least common multiple (LCM) of 365 and 2 is 730.
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 365 and 2?
First, calculate the GCD of 365 and 2 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 365 ÷ 2 = 182 remainder 1 |
| 2 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 20 | 2340 |
| 103 and 28 | 2884 |
| 70 and 199 | 13930 |
| 105 and 31 | 3255 |
| 35 and 71 | 2485 |