Least Common Multiple (LCM) of 191 and 59
The least common multiple (LCM) of 191 and 59 is 11269.
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 59?
First, calculate the GCD of 191 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 59 = 3 remainder 14 |
| 2 | 59 ÷ 14 = 4 remainder 3 |
| 3 | 14 ÷ 3 = 4 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 123 | 4797 |
| 83 and 153 | 12699 |
| 194 and 195 | 37830 |
| 186 and 135 | 8370 |
| 187 and 113 | 21131 |