Least Common Multiple (LCM) of 173 and 144
The least common multiple (LCM) of 173 and 144 is 24912.
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 173 and 144?
First, calculate the GCD of 173 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 144 = 1 remainder 29 |
| 2 | 144 ÷ 29 = 4 remainder 28 |
| 3 | 29 ÷ 28 = 1 remainder 1 |
| 4 | 28 ÷ 1 = 28 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 81 and 111 | 2997 |
| 189 and 80 | 15120 |
| 50 and 11 | 550 |
| 58 and 61 | 3538 |
| 169 and 198 | 33462 |