Least Common Multiple (LCM) of 96 and 92
The least common multiple (LCM) of 96 and 92 is 2208.
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 96 and 92?
First, calculate the GCD of 96 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 96 ÷ 92 = 1 remainder 4 |
| 2 | 92 ÷ 4 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 34 | 646 |
| 133 and 113 | 15029 |
| 115 and 133 | 15295 |
| 10 and 200 | 200 |
| 151 and 39 | 5889 |