Least Common Multiple (LCM) of 190 and 16
The least common multiple (LCM) of 190 and 16 is 1520.
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 190 and 16?
First, calculate the GCD of 190 and 16 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 16 = 11 remainder 14 |
| 2 | 16 ÷ 14 = 1 remainder 2 |
| 3 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 172 | 33196 |
| 68 and 75 | 5100 |
| 178 and 12 | 1068 |
| 173 and 159 | 27507 |
| 122 and 166 | 10126 |