Least Common Multiple (LCM) of 124 and 45
The least common multiple (LCM) of 124 and 45 is 5580.
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 45?
First, calculate the GCD of 124 and 45 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 45 = 2 remainder 34 |
| 2 | 45 ÷ 34 = 1 remainder 11 |
| 3 | 34 ÷ 11 = 3 remainder 1 |
| 4 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 11 | 1463 |
| 82 and 192 | 7872 |
| 157 and 14 | 2198 |
| 90 and 37 | 3330 |
| 164 and 85 | 13940 |