Least Common Multiple (LCM) of 123 and 92
The least common multiple (LCM) of 123 and 92 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 123 and 92?
First, calculate the GCD of 123 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 123 ÷ 92 = 1 remainder 31 |
| 2 | 92 ÷ 31 = 2 remainder 30 |
| 3 | 31 ÷ 30 = 1 remainder 1 |
| 4 | 30 ÷ 1 = 30 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 108 | 756 |
| 29 and 86 | 2494 |
| 56 and 20 | 280 |
| 84 and 154 | 924 |
| 185 and 54 | 9990 |