Least Common Multiple (LCM) of 16 and 99
The least common multiple (LCM) of 16 and 99 is 1584.
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 99?
First, calculate the GCD of 16 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 16 ÷ 99 = 0 remainder 16 |
| 2 | 99 ÷ 16 = 6 remainder 3 |
| 3 | 16 ÷ 3 = 5 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 61 and 133 | 8113 |
| 23 and 168 | 3864 |
| 87 and 123 | 3567 |
| 197 and 21 | 4137 |
| 190 and 103 | 19570 |