Least Common Multiple (LCM) of 51 and 16
The least common multiple (LCM) of 51 and 16 is 816.
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 51 and 16?
First, calculate the GCD of 51 and 16 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 51 ÷ 16 = 3 remainder 3 |
| 2 | 16 ÷ 3 = 5 remainder 1 |
| 3 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 16 and 77 | 1232 |
| 192 and 48 | 192 |
| 174 and 36 | 1044 |
| 171 and 187 | 31977 |
| 75 and 144 | 3600 |