Least Common Multiple (LCM) of 123 and 122
The least common multiple (LCM) of 123 and 122 is 15006.
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 122?
First, calculate the GCD of 123 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 123 ÷ 122 = 1 remainder 1 |
| 2 | 122 ÷ 1 = 122 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 66 and 128 | 4224 |
| 117 and 11 | 1287 |
| 181 and 41 | 7421 |
| 16 and 55 | 880 |
| 115 and 170 | 3910 |