Least Common Multiple (LCM) of 66 and 164
The least common multiple (LCM) of 66 and 164 is 5412.
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 164?
First, calculate the GCD of 66 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 66 ÷ 164 = 0 remainder 66 |
| 2 | 164 ÷ 66 = 2 remainder 32 |
| 3 | 66 ÷ 32 = 2 remainder 2 |
| 4 | 32 ÷ 2 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 25 and 182 | 4550 |
| 13 and 132 | 1716 |
| 63 and 49 | 441 |
| 25 and 118 | 2950 |
| 168 and 193 | 32424 |