Least Common Multiple (LCM) of 200 and 40
The least common multiple (LCM) of 200 and 40 is 200.
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 40?
First, calculate the GCD of 200 and 40 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 40 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 77 | 5005 |
| 157 and 172 | 27004 |
| 76 and 39 | 2964 |
| 161 and 15 | 2415 |
| 124 and 77 | 9548 |