Least Common Multiple (LCM) of 146 and 182
The least common multiple (LCM) of 146 and 182 is 13286.
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 146 and 182?
First, calculate the GCD of 146 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 182 = 0 remainder 146 |
| 2 | 182 ÷ 146 = 1 remainder 36 |
| 3 | 146 ÷ 36 = 4 remainder 2 |
| 4 | 36 ÷ 2 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 81 | 1053 |
| 143 and 79 | 11297 |
| 15 and 182 | 2730 |
| 58 and 133 | 7714 |
| 178 and 160 | 14240 |