Least Common Multiple (LCM) of 92 and 123
The least common multiple (LCM) of 92 and 123 is 11316.
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 123?
First, calculate the GCD of 92 and 123 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 123 = 0 remainder 92 |
| 2 | 123 ÷ 92 = 1 remainder 31 |
| 3 | 92 ÷ 31 = 2 remainder 30 |
| 4 | 31 ÷ 30 = 1 remainder 1 |
| 5 | 30 ÷ 1 = 30 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 10 | 230 |
| 177 and 56 | 9912 |
| 196 and 64 | 3136 |
| 16 and 194 | 1552 |
| 56 and 145 | 8120 |