Least Common Multiple (LCM) of 145 and 182
The least common multiple (LCM) of 145 and 182 is 26390.
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 182?
First, calculate the GCD of 145 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 182 = 0 remainder 145 |
| 2 | 182 ÷ 145 = 1 remainder 37 |
| 3 | 145 ÷ 37 = 3 remainder 34 |
| 4 | 37 ÷ 34 = 1 remainder 3 |
| 5 | 34 ÷ 3 = 11 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 141 | 8742 |
| 142 and 96 | 6816 |
| 63 and 169 | 10647 |
| 129 and 87 | 3741 |
| 146 and 100 | 7300 |