Least Common Multiple (LCM) of 191 and 147
The least common multiple (LCM) of 191 and 147 is 28077.
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 147?
First, calculate the GCD of 191 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 147 = 1 remainder 44 |
| 2 | 147 ÷ 44 = 3 remainder 15 |
| 3 | 44 ÷ 15 = 2 remainder 14 |
| 4 | 15 ÷ 14 = 1 remainder 1 |
| 5 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 173 and 174 | 30102 |
| 49 and 77 | 539 |
| 131 and 191 | 25021 |
| 149 and 111 | 16539 |
| 83 and 198 | 16434 |