Least Common Multiple (LCM) of 173 and 45
The least common multiple (LCM) of 173 and 45 is 7785.
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 45?
First, calculate the GCD of 173 and 45 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 45 = 3 remainder 38 |
| 2 | 45 ÷ 38 = 1 remainder 7 |
| 3 | 38 ÷ 7 = 5 remainder 3 |
| 4 | 7 ÷ 3 = 2 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 137 | 14659 |
| 85 and 193 | 16405 |
| 109 and 54 | 5886 |
| 122 and 125 | 15250 |
| 184 and 34 | 3128 |