Least Common Multiple (LCM) of 191 and 73
The least common multiple (LCM) of 191 and 73 is 13943.
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 73?
First, calculate the GCD of 191 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 73 = 2 remainder 45 |
| 2 | 73 ÷ 45 = 1 remainder 28 |
| 3 | 45 ÷ 28 = 1 remainder 17 |
| 4 | 28 ÷ 17 = 1 remainder 11 |
| 5 | 17 ÷ 11 = 1 remainder 6 |
| 6 | 11 ÷ 6 = 1 remainder 5 |
| 7 | 6 ÷ 5 = 1 remainder 1 |
| 8 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 35 and 75 | 525 |
| 165 and 86 | 14190 |
| 195 and 119 | 23205 |
| 119 and 166 | 19754 |
| 42 and 45 | 630 |