Least Common Multiple (LCM) of 164 and 64
The least common multiple (LCM) of 164 and 64 is 2624.
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 164 and 64?
First, calculate the GCD of 164 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 64 = 2 remainder 36 |
| 2 | 64 ÷ 36 = 1 remainder 28 |
| 3 | 36 ÷ 28 = 1 remainder 8 |
| 4 | 28 ÷ 8 = 3 remainder 4 |
| 5 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 168 | 3192 |
| 26 and 14 | 182 |
| 182 and 27 | 4914 |
| 82 and 80 | 3280 |
| 195 and 162 | 10530 |