Least Common Multiple (LCM) of 631 and 2
The least common multiple (LCM) of 631 and 2 is 1262.
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 631 and 2?
First, calculate the GCD of 631 and 2 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 631 ÷ 2 = 315 remainder 1 |
| 2 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 71 | 7384 |
| 55 and 53 | 2915 |
| 113 and 98 | 11074 |
| 165 and 182 | 30030 |
| 132 and 10 | 660 |