Least Common Multiple (LCM) of 124 and 123
The least common multiple (LCM) of 124 and 123 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 124 and 123?
First, calculate the GCD of 124 and 123 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 123 = 1 remainder 1 |
| 2 | 123 ÷ 1 = 123 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 49 | 5194 |
| 171 and 13 | 2223 |
| 31 and 180 | 5580 |
| 194 and 101 | 19594 |
| 134 and 77 | 10318 |