Least Common Multiple (LCM) of 191 and 40
The least common multiple (LCM) of 191 and 40 is 7640.
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 191 and 40?
First, calculate the GCD of 191 and 40 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 40 = 4 remainder 31 |
| 2 | 40 ÷ 31 = 1 remainder 9 |
| 3 | 31 ÷ 9 = 3 remainder 4 |
| 4 | 9 ÷ 4 = 2 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 58 | 5162 |
| 171 and 85 | 14535 |
| 37 and 63 | 2331 |
| 183 and 126 | 7686 |
| 101 and 107 | 10807 |