Least Common Multiple (LCM) of 124 and 42
The least common multiple (LCM) of 124 and 42 is 2604.
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 42?
First, calculate the GCD of 124 and 42 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 42 = 2 remainder 40 |
| 2 | 42 ÷ 40 = 1 remainder 2 |
| 3 | 40 ÷ 2 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 66 | 198 |
| 122 and 78 | 4758 |
| 32 and 71 | 2272 |
| 168 and 147 | 1176 |
| 22 and 110 | 110 |