Least Common Multiple (LCM) of 123 and 127
The least common multiple (LCM) of 123 and 127 is 15621.
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 127?
First, calculate the GCD of 123 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 123 ÷ 127 = 0 remainder 123 |
| 2 | 127 ÷ 123 = 1 remainder 4 |
| 3 | 123 ÷ 4 = 30 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 199 | 28258 |
| 46 and 16 | 368 |
| 72 and 189 | 1512 |
| 164 and 100 | 4100 |
| 190 and 199 | 37810 |