Least Common Multiple (LCM) of 191 and 65
The least common multiple (LCM) of 191 and 65 is 12415.
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 65?
First, calculate the GCD of 191 and 65 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 65 = 2 remainder 61 |
| 2 | 65 ÷ 61 = 1 remainder 4 |
| 3 | 61 ÷ 4 = 15 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 134 | 10854 |
| 31 and 81 | 2511 |
| 131 and 167 | 21877 |
| 115 and 186 | 21390 |
| 110 and 174 | 9570 |