Least Common Multiple (LCM) of 66 and 69
The least common multiple (LCM) of 66 and 69 is 1518.
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 66 and 69?
First, calculate the GCD of 66 and 69 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 66 ÷ 69 = 0 remainder 66 |
| 2 | 69 ÷ 66 = 1 remainder 3 |
| 3 | 66 ÷ 3 = 22 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 72 | 144 |
| 164 and 77 | 12628 |
| 148 and 177 | 26196 |
| 148 and 99 | 14652 |
| 25 and 22 | 550 |