Least Common Multiple (LCM) of 123 and 124
The least common multiple (LCM) of 123 and 124 is 15252.
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 124?
First, calculate the GCD of 123 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 123 ÷ 124 = 0 remainder 123 |
| 2 | 124 ÷ 123 = 1 remainder 1 |
| 3 | 123 ÷ 1 = 123 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 23 and 133 | 3059 |
| 146 and 176 | 12848 |
| 50 and 112 | 2800 |
| 25 and 118 | 2950 |
| 198 and 13 | 2574 |