Least Common Multiple (LCM) of 144 and 171
The least common multiple (LCM) of 144 and 171 is 2736.
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 144 and 171?
First, calculate the GCD of 144 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 171 = 0 remainder 144 |
| 2 | 171 ÷ 144 = 1 remainder 27 |
| 3 | 144 ÷ 27 = 5 remainder 9 |
| 4 | 27 ÷ 9 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 148 and 158 | 11692 |
| 194 and 43 | 8342 |
| 193 and 161 | 31073 |
| 86 and 161 | 13846 |
| 103 and 57 | 5871 |