Least Common Multiple (LCM) of 66 and 81
The least common multiple (LCM) of 66 and 81 is 1782.
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 81?
First, calculate the GCD of 66 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 66 ÷ 81 = 0 remainder 66 |
| 2 | 81 ÷ 66 = 1 remainder 15 |
| 3 | 66 ÷ 15 = 4 remainder 6 |
| 4 | 15 ÷ 6 = 2 remainder 3 |
| 5 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 112 | 1120 |
| 137 and 123 | 16851 |
| 47 and 13 | 611 |
| 17 and 62 | 1054 |
| 181 and 18 | 3258 |