Least Common Multiple (LCM) of 171 and 64
The least common multiple (LCM) of 171 and 64 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 171 and 64?
First, calculate the GCD of 171 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 64 = 2 remainder 43 |
| 2 | 64 ÷ 43 = 1 remainder 21 |
| 3 | 43 ÷ 21 = 2 remainder 1 |
| 4 | 21 ÷ 1 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 183 and 10 | 1830 |
| 185 and 86 | 15910 |
| 197 and 152 | 29944 |
| 142 and 171 | 24282 |
| 114 and 199 | 22686 |