Least Common Multiple (LCM) of 360 and 2
The least common multiple (LCM) of 360 and 2 is 360.
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 360 and 2?
First, calculate the GCD of 360 and 2 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 360 ÷ 2 = 180 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 182 and 16 | 1456 |
| 197 and 60 | 11820 |
| 86 and 187 | 16082 |
| 121 and 97 | 11737 |
| 64 and 141 | 9024 |