Least Common Multiple (LCM) of 200 and 124
The least common multiple (LCM) of 200 and 124 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 200 and 124?
First, calculate the GCD of 200 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 124 = 1 remainder 76 |
| 2 | 124 ÷ 76 = 1 remainder 48 |
| 3 | 76 ÷ 48 = 1 remainder 28 |
| 4 | 48 ÷ 28 = 1 remainder 20 |
| 5 | 28 ÷ 20 = 1 remainder 8 |
| 6 | 20 ÷ 8 = 2 remainder 4 |
| 7 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 173 and 75 | 12975 |
| 127 and 95 | 12065 |
| 194 and 107 | 20758 |
| 35 and 63 | 315 |
| 23 and 28 | 644 |