Least Common Multiple (LCM) of 18 and 124
The least common multiple (LCM) of 18 and 124 is 1116.
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 18 and 124?
First, calculate the GCD of 18 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 18 ÷ 124 = 0 remainder 18 |
| 2 | 124 ÷ 18 = 6 remainder 16 |
| 3 | 18 ÷ 16 = 1 remainder 2 |
| 4 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 80 | 8720 |
| 107 and 51 | 5457 |
| 137 and 141 | 19317 |
| 133 and 200 | 26600 |
| 130 and 159 | 20670 |