Least Common Multiple (LCM) of 124 and 150
The least common multiple (LCM) of 124 and 150 is 9300.
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 150?
First, calculate the GCD of 124 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 150 = 0 remainder 124 |
| 2 | 150 ÷ 124 = 1 remainder 26 |
| 3 | 124 ÷ 26 = 4 remainder 20 |
| 4 | 26 ÷ 20 = 1 remainder 6 |
| 5 | 20 ÷ 6 = 3 remainder 2 |
| 6 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 70 | 12390 |
| 133 and 50 | 6650 |
| 28 and 200 | 1400 |
| 20 and 68 | 340 |
| 193 and 97 | 18721 |