Least Common Multiple (LCM) of 173 and 58
The least common multiple (LCM) of 173 and 58 is 10034.
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 58?
First, calculate the GCD of 173 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 58 = 2 remainder 57 |
| 2 | 58 ÷ 57 = 1 remainder 1 |
| 3 | 57 ÷ 1 = 57 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 29 | 4176 |
| 27 and 37 | 999 |
| 100 and 120 | 600 |
| 171 and 61 | 10431 |
| 194 and 78 | 7566 |