Least Common Multiple (LCM) of 191 and 39
The least common multiple (LCM) of 191 and 39 is 7449.
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 39?
First, calculate the GCD of 191 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 39 = 4 remainder 35 |
| 2 | 39 ÷ 35 = 1 remainder 4 |
| 3 | 35 ÷ 4 = 8 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 57 | 6042 |
| 73 and 82 | 5986 |
| 65 and 68 | 4420 |
| 58 and 66 | 1914 |
| 101 and 107 | 10807 |