Least Common Multiple (LCM) of 16 and 82
The least common multiple (LCM) of 16 and 82 is 656.
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 16 and 82?
First, calculate the GCD of 16 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 16 ÷ 82 = 0 remainder 16 |
| 2 | 82 ÷ 16 = 5 remainder 2 |
| 3 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 35 and 167 | 5845 |
| 103 and 83 | 8549 |
| 118 and 20 | 1180 |
| 161 and 106 | 17066 |
| 121 and 69 | 8349 |