Least Common Multiple (LCM) of 92 and 116
The least common multiple (LCM) of 92 and 116 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 92 and 116?
First, calculate the GCD of 92 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 116 = 0 remainder 92 |
| 2 | 116 ÷ 92 = 1 remainder 24 |
| 3 | 92 ÷ 24 = 3 remainder 20 |
| 4 | 24 ÷ 20 = 1 remainder 4 |
| 5 | 20 ÷ 4 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 70 | 5670 |
| 122 and 103 | 12566 |
| 113 and 33 | 3729 |
| 99 and 55 | 495 |
| 131 and 180 | 23580 |