Least Common Multiple (LCM) of 116 and 19
The least common multiple (LCM) of 116 and 19 is 2204.
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 116 and 19?
First, calculate the GCD of 116 and 19 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 19 = 6 remainder 2 |
| 2 | 19 ÷ 2 = 9 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 27 | 1431 |
| 27 and 10 | 270 |
| 124 and 101 | 12524 |
| 126 and 174 | 3654 |
| 163 and 78 | 12714 |