Least Common Multiple (LCM) of 124 and 200
The least common multiple (LCM) of 124 and 200 is 6200.
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 200?
First, calculate the GCD of 124 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 200 = 0 remainder 124 |
| 2 | 200 ÷ 124 = 1 remainder 76 |
| 3 | 124 ÷ 76 = 1 remainder 48 |
| 4 | 76 ÷ 48 = 1 remainder 28 |
| 5 | 48 ÷ 28 = 1 remainder 20 |
| 6 | 28 ÷ 20 = 1 remainder 8 |
| 7 | 20 ÷ 8 = 2 remainder 4 |
| 8 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 50 and 19 | 950 |
| 48 and 86 | 2064 |
| 24 and 142 | 1704 |
| 141 and 131 | 18471 |
| 29 and 137 | 3973 |