Least Common Multiple (LCM) of 145 and 191
The least common multiple (LCM) of 145 and 191 is 27695.
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 145 and 191?
First, calculate the GCD of 145 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 191 = 0 remainder 145 |
| 2 | 191 ÷ 145 = 1 remainder 46 |
| 3 | 145 ÷ 46 = 3 remainder 7 |
| 4 | 46 ÷ 7 = 6 remainder 4 |
| 5 | 7 ÷ 4 = 1 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 107 | 12091 |
| 59 and 12 | 708 |
| 117 and 195 | 585 |
| 179 and 41 | 7339 |
| 32 and 120 | 480 |