Least Common Multiple (LCM) of 219 and 2
The least common multiple (LCM) of 219 and 2 is 438.
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 219 and 2?
First, calculate the GCD of 219 and 2 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 219 ÷ 2 = 109 remainder 1 |
| 2 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 85 and 142 | 12070 |
| 147 and 36 | 1764 |
| 21 and 168 | 168 |
| 196 and 129 | 25284 |
| 26 and 167 | 4342 |