Least Common Multiple (LCM) of 82 and 91
The least common multiple (LCM) of 82 and 91 is 7462.
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 82 and 91?
First, calculate the GCD of 82 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 82 ÷ 91 = 0 remainder 82 |
| 2 | 91 ÷ 82 = 1 remainder 9 |
| 3 | 82 ÷ 9 = 9 remainder 1 |
| 4 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 109 | 11227 |
| 28 and 89 | 2492 |
| 121 and 15 | 1815 |
| 156 and 33 | 1716 |
| 17 and 186 | 3162 |