Least Common Multiple (LCM) of 39 and 81
The least common multiple (LCM) of 39 and 81 is 1053.
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 39 and 81?
First, calculate the GCD of 39 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 39 ÷ 81 = 0 remainder 39 |
| 2 | 81 ÷ 39 = 2 remainder 3 |
| 3 | 39 ÷ 3 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 158 | 8216 |
| 189 and 33 | 2079 |
| 74 and 87 | 6438 |
| 159 and 70 | 11130 |
| 157 and 183 | 28731 |