Least Common Multiple (LCM) of 116 and 18
The least common multiple (LCM) of 116 and 18 is 1044.
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 18?
First, calculate the GCD of 116 and 18 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 18 = 6 remainder 8 |
| 2 | 18 ÷ 8 = 2 remainder 2 |
| 3 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 34 | 1700 |
| 184 and 104 | 2392 |
| 77 and 116 | 8932 |
| 200 and 56 | 1400 |
| 67 and 195 | 13065 |