Least Common Multiple (LCM) of 200 and 39
The least common multiple (LCM) of 200 and 39 is 7800.
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 39?
First, calculate the GCD of 200 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 39 = 5 remainder 5 |
| 2 | 39 ÷ 5 = 7 remainder 4 |
| 3 | 5 ÷ 4 = 1 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 62 and 50 | 1550 |
| 86 and 159 | 13674 |
| 165 and 77 | 1155 |
| 58 and 145 | 290 |
| 138 and 78 | 1794 |