Least Common Multiple (LCM) of 173 and 44
The least common multiple (LCM) of 173 and 44 is 7612.
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 44?
First, calculate the GCD of 173 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 44 = 3 remainder 41 |
| 2 | 44 ÷ 41 = 1 remainder 3 |
| 3 | 41 ÷ 3 = 13 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 78 | 1716 |
| 193 and 156 | 30108 |
| 136 and 45 | 6120 |
| 195 and 37 | 7215 |
| 147 and 176 | 25872 |