Least Common Multiple (LCM) of 13 and 82
The least common multiple (LCM) of 13 and 82 is 1066.
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 13 and 82?
First, calculate the GCD of 13 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 13 ÷ 82 = 0 remainder 13 |
| 2 | 82 ÷ 13 = 6 remainder 4 |
| 3 | 13 ÷ 4 = 3 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 51 | 2193 |
| 187 and 178 | 33286 |
| 194 and 101 | 19594 |
| 92 and 15 | 1380 |
| 52 and 132 | 1716 |