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 |
|---|---|
| 112 and 178 | 9968 |
| 61 and 194 | 11834 |
| 18 and 39 | 234 |
| 154 and 99 | 1386 |
| 187 and 101 | 18887 |