Least Common Multiple (LCM) of 104 and 81
The least common multiple (LCM) of 104 and 81 is 8424.
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 104 and 81?
First, calculate the GCD of 104 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 81 = 1 remainder 23 |
| 2 | 81 ÷ 23 = 3 remainder 12 |
| 3 | 23 ÷ 12 = 1 remainder 11 |
| 4 | 12 ÷ 11 = 1 remainder 1 |
| 5 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 60 | 9420 |
| 113 and 82 | 9266 |
| 168 and 162 | 4536 |
| 148 and 129 | 19092 |
| 37 and 144 | 5328 |