Least Common Multiple (LCM) of 77 and 191
The least common multiple (LCM) of 77 and 191 is 14707.
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 77 and 191?
First, calculate the GCD of 77 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 77 ÷ 191 = 0 remainder 77 |
| 2 | 191 ÷ 77 = 2 remainder 37 |
| 3 | 77 ÷ 37 = 2 remainder 3 |
| 4 | 37 ÷ 3 = 12 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 48 and 161 | 7728 |
| 192 and 74 | 7104 |
| 135 and 100 | 2700 |
| 142 and 53 | 7526 |
| 30 and 154 | 2310 |