Least Common Multiple (LCM) of 945 and 650
The least common multiple (LCM) of 945 and 650 is 122850.
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 945 and 650?
First, calculate the GCD of 945 and 650 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 945 ÷ 650 = 1 remainder 295 |
| 2 | 650 ÷ 295 = 2 remainder 60 |
| 3 | 295 ÷ 60 = 4 remainder 55 |
| 4 | 60 ÷ 55 = 1 remainder 5 |
| 5 | 55 ÷ 5 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 198 and 78 | 2574 |
| 82 and 59 | 4838 |
| 83 and 179 | 14857 |
| 29 and 11 | 319 |
| 63 and 107 | 6741 |