Least Common Multiple (LCM) of 144 and 173
The least common multiple (LCM) of 144 and 173 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 144 and 173?
First, calculate the GCD of 144 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 173 = 0 remainder 144 |
| 2 | 173 ÷ 144 = 1 remainder 29 |
| 3 | 144 ÷ 29 = 4 remainder 28 |
| 4 | 29 ÷ 28 = 1 remainder 1 |
| 5 | 28 ÷ 1 = 28 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 46 and 73 | 3358 |
| 133 and 72 | 9576 |
| 45 and 163 | 7335 |
| 195 and 61 | 11895 |
| 40 and 95 | 760 |