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 |
|---|---|
| 161 and 22 | 3542 |
| 96 and 176 | 1056 |
| 24 and 105 | 840 |
| 40 and 173 | 6920 |
| 75 and 101 | 7575 |