Least Common Multiple (LCM) of 64 and 171
The least common multiple (LCM) of 64 and 171 is 10944.
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 171?
First, calculate the GCD of 64 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 64 ÷ 171 = 0 remainder 64 |
| 2 | 171 ÷ 64 = 2 remainder 43 |
| 3 | 64 ÷ 43 = 1 remainder 21 |
| 4 | 43 ÷ 21 = 2 remainder 1 |
| 5 | 21 ÷ 1 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 76 and 157 | 11932 |
| 51 and 115 | 5865 |
| 98 and 191 | 18718 |
| 147 and 153 | 7497 |
| 45 and 20 | 180 |