Least Common Multiple (LCM) of 81 and 15
The least common multiple (LCM) of 81 and 15 is 405.
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 81 and 15?
First, calculate the GCD of 81 and 15 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 81 ÷ 15 = 5 remainder 6 |
| 2 | 15 ÷ 6 = 2 remainder 3 |
| 3 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 39 | 4368 |
| 153 and 108 | 1836 |
| 81 and 20 | 1620 |
| 140 and 176 | 6160 |
| 18 and 168 | 504 |