Least Common Multiple (LCM) of 170 and 64
The least common multiple (LCM) of 170 and 64 is 5440.
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 170 and 64?
First, calculate the GCD of 170 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 64 = 2 remainder 42 |
| 2 | 64 ÷ 42 = 1 remainder 22 |
| 3 | 42 ÷ 22 = 1 remainder 20 |
| 4 | 22 ÷ 20 = 1 remainder 2 |
| 5 | 20 ÷ 2 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 22 and 134 | 1474 |
| 73 and 80 | 5840 |
| 157 and 110 | 17270 |
| 66 and 21 | 462 |
| 184 and 62 | 5704 |