Least Common Multiple (LCM) of 146 and 82
The least common multiple (LCM) of 146 and 82 is 5986.
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 82?
First, calculate the GCD of 146 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 82 = 1 remainder 64 |
| 2 | 82 ÷ 64 = 1 remainder 18 |
| 3 | 64 ÷ 18 = 3 remainder 10 |
| 4 | 18 ÷ 10 = 1 remainder 8 |
| 5 | 10 ÷ 8 = 1 remainder 2 |
| 6 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 131 and 183 | 23973 |
| 48 and 48 | 48 |
| 102 and 164 | 8364 |
| 192 and 88 | 2112 |
| 198 and 117 | 2574 |