Least Common Multiple (LCM) of 125 and 66
The least common multiple (LCM) of 125 and 66 is 8250.
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 125 and 66?
First, calculate the GCD of 125 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 66 = 1 remainder 59 |
| 2 | 66 ÷ 59 = 1 remainder 7 |
| 3 | 59 ÷ 7 = 8 remainder 3 |
| 4 | 7 ÷ 3 = 2 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 28 | 700 |
| 168 and 16 | 336 |
| 159 and 84 | 4452 |
| 97 and 97 | 97 |
| 78 and 80 | 3120 |