Least Common Multiple (LCM) of 69 and 81
The least common multiple (LCM) of 69 and 81 is 1863.
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 69 and 81?
First, calculate the GCD of 69 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 69 ÷ 81 = 0 remainder 69 |
| 2 | 81 ÷ 69 = 1 remainder 12 |
| 3 | 69 ÷ 12 = 5 remainder 9 |
| 4 | 12 ÷ 9 = 1 remainder 3 |
| 5 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 125 | 17125 |
| 76 and 97 | 7372 |
| 111 and 21 | 777 |
| 141 and 27 | 1269 |
| 166 and 68 | 5644 |