Least Common Multiple (LCM) of 78 and 92
The least common multiple (LCM) of 78 and 92 is 3588.
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 78 and 92?
First, calculate the GCD of 78 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 78 ÷ 92 = 0 remainder 78 |
| 2 | 92 ÷ 78 = 1 remainder 14 |
| 3 | 78 ÷ 14 = 5 remainder 8 |
| 4 | 14 ÷ 8 = 1 remainder 6 |
| 5 | 8 ÷ 6 = 1 remainder 2 |
| 6 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 32 | 800 |
| 151 and 180 | 27180 |
| 183 and 16 | 2928 |
| 187 and 133 | 24871 |
| 23 and 31 | 713 |