Least Common Multiple (LCM) of 145 and 194
The least common multiple (LCM) of 145 and 194 is 28130.
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 194?
First, calculate the GCD of 145 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 194 = 0 remainder 145 |
| 2 | 194 ÷ 145 = 1 remainder 49 |
| 3 | 145 ÷ 49 = 2 remainder 47 |
| 4 | 49 ÷ 47 = 1 remainder 2 |
| 5 | 47 ÷ 2 = 23 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 61 | 11468 |
| 35 and 110 | 770 |
| 72 and 191 | 13752 |
| 82 and 148 | 6068 |
| 180 and 149 | 26820 |