Least Common Multiple (LCM) of 163 and 16
The least common multiple (LCM) of 163 and 16 is 2608.
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 163 and 16?
First, calculate the GCD of 163 and 16 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 16 = 10 remainder 3 |
| 2 | 16 ÷ 3 = 5 remainder 1 |
| 3 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 151 | 17063 |
| 55 and 156 | 8580 |
| 51 and 184 | 9384 |
| 176 and 141 | 24816 |
| 103 and 200 | 20600 |