Least Common Multiple (LCM) of 628 and 2
The least common multiple (LCM) of 628 and 2 is 628.
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 628 and 2?
First, calculate the GCD of 628 and 2 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 628 ÷ 2 = 314 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 163 and 84 | 13692 |
| 101 and 187 | 18887 |
| 148 and 171 | 25308 |
| 23 and 161 | 161 |
| 147 and 176 | 25872 |