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 |
|---|---|
| 18 and 43 | 774 |
| 130 and 40 | 520 |
| 163 and 166 | 27058 |
| 109 and 132 | 14388 |
| 13 and 144 | 1872 |