Least Common Multiple (LCM) of 182 and 145
The least common multiple (LCM) of 182 and 145 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 182 and 145?
First, calculate the GCD of 182 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 145 = 1 remainder 37 |
| 2 | 145 ÷ 37 = 3 remainder 34 |
| 3 | 37 ÷ 34 = 1 remainder 3 |
| 4 | 34 ÷ 3 = 11 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 70 and 153 | 10710 |
| 22 and 122 | 1342 |
| 31 and 88 | 2728 |
| 152 and 25 | 3800 |
| 25 and 121 | 3025 |