Least Common Multiple (LCM) of 64 and 162
The least common multiple (LCM) of 64 and 162 is 5184.
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 64 and 162?
First, calculate the GCD of 64 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 64 ÷ 162 = 0 remainder 64 |
| 2 | 162 ÷ 64 = 2 remainder 34 |
| 3 | 64 ÷ 34 = 1 remainder 30 |
| 4 | 34 ÷ 30 = 1 remainder 4 |
| 5 | 30 ÷ 4 = 7 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 109 | 18966 |
| 117 and 79 | 9243 |
| 79 and 43 | 3397 |
| 198 and 83 | 16434 |
| 97 and 168 | 16296 |