Least Common Multiple (LCM) of 116 and 92
The least common multiple (LCM) of 116 and 92 is 2668.
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 92?
First, calculate the GCD of 116 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 92 = 1 remainder 24 |
| 2 | 92 ÷ 24 = 3 remainder 20 |
| 3 | 24 ÷ 20 = 1 remainder 4 |
| 4 | 20 ÷ 4 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 43 and 134 | 5762 |
| 27 and 75 | 675 |
| 17 and 194 | 3298 |
| 162 and 194 | 15714 |
| 128 and 28 | 896 |