Least Common Multiple (LCM) of 16 and 191
The least common multiple (LCM) of 16 and 191 is 3056.
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 191?
First, calculate the GCD of 16 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 16 ÷ 191 = 0 remainder 16 |
| 2 | 191 ÷ 16 = 11 remainder 15 |
| 3 | 16 ÷ 15 = 1 remainder 1 |
| 4 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 172 | 17372 |
| 124 and 145 | 17980 |
| 75 and 56 | 4200 |
| 161 and 131 | 21091 |
| 113 and 10 | 1130 |