Least Common Multiple (LCM) of 66 and 146
The least common multiple (LCM) of 66 and 146 is 4818.
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 66 and 146?
First, calculate the GCD of 66 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 66 ÷ 146 = 0 remainder 66 |
| 2 | 146 ÷ 66 = 2 remainder 14 |
| 3 | 66 ÷ 14 = 4 remainder 10 |
| 4 | 14 ÷ 10 = 1 remainder 4 |
| 5 | 10 ÷ 4 = 2 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 24 and 126 | 504 |
| 89 and 113 | 10057 |
| 113 and 69 | 7797 |
| 183 and 107 | 19581 |
| 145 and 140 | 4060 |