Least Common Multiple (LCM) of 185 and 16
The least common multiple (LCM) of 185 and 16 is 2960.
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 185 and 16?
First, calculate the GCD of 185 and 16 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 16 = 11 remainder 9 |
| 2 | 16 ÷ 9 = 1 remainder 7 |
| 3 | 9 ÷ 7 = 1 remainder 2 |
| 4 | 7 ÷ 2 = 3 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 198 and 125 | 24750 |
| 180 and 199 | 35820 |
| 50 and 117 | 5850 |
| 22 and 97 | 2134 |
| 131 and 178 | 23318 |