Least Common Multiple (LCM) of 82 and 98
The least common multiple (LCM) of 82 and 98 is 4018.
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 98?
First, calculate the GCD of 82 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 82 ÷ 98 = 0 remainder 82 |
| 2 | 98 ÷ 82 = 1 remainder 16 |
| 3 | 82 ÷ 16 = 5 remainder 2 |
| 4 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 51 | 5916 |
| 132 and 93 | 4092 |
| 83 and 133 | 11039 |
| 16 and 133 | 2128 |
| 182 and 97 | 17654 |