Least Common Multiple (LCM) of 146 and 191
The least common multiple (LCM) of 146 and 191 is 27886.
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 146 and 191?
First, calculate the GCD of 146 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 191 = 0 remainder 146 |
| 2 | 191 ÷ 146 = 1 remainder 45 |
| 3 | 146 ÷ 45 = 3 remainder 11 |
| 4 | 45 ÷ 11 = 4 remainder 1 |
| 5 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 52 and 145 | 7540 |
| 81 and 52 | 4212 |
| 11 and 149 | 1639 |
| 17 and 84 | 1428 |
| 150 and 137 | 20550 |