Least Common Multiple (LCM) of 82 and 148
The least common multiple (LCM) of 82 and 148 is 6068.
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 82 and 148?
First, calculate the GCD of 82 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 82 ÷ 148 = 0 remainder 82 |
| 2 | 148 ÷ 82 = 1 remainder 66 |
| 3 | 82 ÷ 66 = 1 remainder 16 |
| 4 | 66 ÷ 16 = 4 remainder 2 |
| 5 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 80 | 13360 |
| 24 and 67 | 1608 |
| 83 and 16 | 1328 |
| 150 and 133 | 19950 |
| 98 and 128 | 6272 |