Least Common Multiple (LCM) of 173 and 47
The least common multiple (LCM) of 173 and 47 is 8131.
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 47?
First, calculate the GCD of 173 and 47 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 47 = 3 remainder 32 |
| 2 | 47 ÷ 32 = 1 remainder 15 |
| 3 | 32 ÷ 15 = 2 remainder 2 |
| 4 | 15 ÷ 2 = 7 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 42 and 125 | 5250 |
| 157 and 143 | 22451 |
| 188 and 48 | 2256 |
| 176 and 181 | 31856 |
| 58 and 146 | 4234 |