Least Common Multiple (LCM) of 16 and 116
The least common multiple (LCM) of 16 and 116 is 464.
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 116?
First, calculate the GCD of 16 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 16 ÷ 116 = 0 remainder 16 |
| 2 | 116 ÷ 16 = 7 remainder 4 |
| 3 | 16 ÷ 4 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 86 | 4730 |
| 191 and 118 | 22538 |
| 59 and 59 | 59 |
| 124 and 107 | 13268 |
| 89 and 11 | 979 |