Least Common Multiple (LCM) of 16 and 86
The least common multiple (LCM) of 16 and 86 is 688.
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 86?
First, calculate the GCD of 16 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 16 ÷ 86 = 0 remainder 16 |
| 2 | 86 ÷ 16 = 5 remainder 6 |
| 3 | 16 ÷ 6 = 2 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 13 | 2041 |
| 101 and 166 | 16766 |
| 115 and 189 | 21735 |
| 104 and 77 | 8008 |
| 99 and 132 | 396 |