Least Common Multiple (LCM) of 173 and 32
The least common multiple (LCM) of 173 and 32 is 5536.
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 32?
First, calculate the GCD of 173 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 32 = 5 remainder 13 |
| 2 | 32 ÷ 13 = 2 remainder 6 |
| 3 | 13 ÷ 6 = 2 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 71 and 58 | 4118 |
| 29 and 200 | 5800 |
| 120 and 194 | 11640 |
| 123 and 106 | 13038 |
| 37 and 161 | 5957 |