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 |
|---|---|
| 30 and 154 | 2310 |
| 177 and 36 | 2124 |
| 150 and 132 | 3300 |
| 19 and 122 | 2318 |
| 186 and 72 | 2232 |