Least Common Multiple (LCM) of 145 and 82
The least common multiple (LCM) of 145 and 82 is 11890.
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 82?
First, calculate the GCD of 145 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 82 = 1 remainder 63 |
| 2 | 82 ÷ 63 = 1 remainder 19 |
| 3 | 63 ÷ 19 = 3 remainder 6 |
| 4 | 19 ÷ 6 = 3 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 162 | 9072 |
| 66 and 79 | 5214 |
| 158 and 54 | 4266 |
| 119 and 126 | 2142 |
| 156 and 89 | 13884 |