Least Common Multiple (LCM) of 199 and 40
The least common multiple (LCM) of 199 and 40 is 7960.
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 199 and 40?
First, calculate the GCD of 199 and 40 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 199 ÷ 40 = 4 remainder 39 |
| 2 | 40 ÷ 39 = 1 remainder 1 |
| 3 | 39 ÷ 1 = 39 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 60 | 7260 |
| 174 and 156 | 4524 |
| 39 and 63 | 819 |
| 59 and 157 | 9263 |
| 198 and 196 | 19404 |