Least Common Multiple (LCM) of 103 and 92
The least common multiple (LCM) of 103 and 92 is 9476.
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 103 and 92?
First, calculate the GCD of 103 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 103 ÷ 92 = 1 remainder 11 |
| 2 | 92 ÷ 11 = 8 remainder 4 |
| 3 | 11 ÷ 4 = 2 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 105 | 6195 |
| 122 and 193 | 23546 |
| 19 and 123 | 2337 |
| 71 and 167 | 11857 |
| 47 and 38 | 1786 |